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Finding the Fourth Proportional to 150.71, 207.95 and 84.31

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Solution

The fourth proportional to 150.71, 207.95 and 84.31 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 207.95 = 84.31 : x
  2. Step 2: Convert to fraction form
    150.71/207.95 = 84.31/x
  3. Step 3: Cross multiply
    150.71x = 207.95 × 84.31
  4. Step 4: Simplify right side
    150.71x = 17,531.32
  5. Step 5: Solve for x
    x = 17,531.32/150.71
  6. Step 6: Final answer
    x = 116.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.