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Finding the Fourth Proportional to 100.38, 150.57 and 39.51

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Solution

The fourth proportional to 100.38, 150.57 and 39.51 is: 59.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 150.57 = 39.51 : x
  2. Step 2: Convert to fraction form
    100.38/150.57 = 39.51/x
  3. Step 3: Cross multiply
    100.38x = 150.57 × 39.51
  4. Step 4: Simplify right side
    100.38x = 5,949.02
  5. Step 5: Solve for x
    x = 5,949.02/100.38
  6. Step 6: Final answer
    x = 59.27

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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.