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Finding the Fourth Proportional to 100.71, 150.34 and 85.32

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Solution

The fourth proportional to 100.71, 150.34 and 85.32 is: 127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.71 : 150.34 = 85.32 : x
  2. Step 2: Convert to fraction form
    100.71/150.34 = 85.32/x
  3. Step 3: Cross multiply
    100.71x = 150.34 × 85.32
  4. Step 4: Simplify right side
    100.71x = 12,826.96
  5. Step 5: Solve for x
    x = 12,826.96/100.71
  6. Step 6: Final answer
    x = 127.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.