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Finding the Fourth Proportional to 867.61, 1,301.40 and 218.33

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Solution

The fourth proportional to 867.61, 1,301.40 and 218.33 is: 327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.61 : 1,301.40 = 218.33 : x
  2. Step 2: Convert to fraction form
    867.61/1,301.40 = 218.33/x
  3. Step 3: Cross multiply
    867.61x = 1,301.40 × 218.33
  4. Step 4: Simplify right side
    867.61x = 284,133.04
  5. Step 5: Solve for x
    x = 284,133.04/867.61
  6. Step 6: Final answer
    x = 327.49

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Double scale
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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.