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Finding the Fourth Proportional to 867.70, 1,301.60 and 218.49

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Solution

The fourth proportional to 867.70, 1,301.60 and 218.49 is: 327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.70 : 1,301.60 = 218.49 : x
  2. Step 2: Convert to fraction form
    867.70/1,301.60 = 218.49/x
  3. Step 3: Cross multiply
    867.70x = 1,301.60 × 218.49
  4. Step 4: Simplify right side
    867.70x = 284,386.58
  5. Step 5: Solve for x
    x = 284,386.58/867.70
  6. Step 6: Final answer
    x = 327.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.