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Finding the Fourth Proportional to 867.80, 1,301.70 and 218.51

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Solution

The fourth proportional to 867.80, 1,301.70 and 218.51 is: 327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,301.70 = 218.51 : x
  2. Step 2: Convert to fraction form
    867.80/1,301.70 = 218.51/x
  3. Step 3: Cross multiply
    867.80x = 1,301.70 × 218.51
  4. Step 4: Simplify right side
    867.80x = 284,434.47
  5. Step 5: Solve for x
    x = 284,434.47/867.80
  6. Step 6: Final answer
    x = 327.77

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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.