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Finding the Fourth Proportional to 90.31, 135.46 and 38.93

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Solution

The fourth proportional to 90.31, 135.46 and 38.93 is: 58.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.31 : 135.46 = 38.93 : x
  2. Step 2: Convert to fraction form
    90.31/135.46 = 38.93/x
  3. Step 3: Cross multiply
    90.31x = 135.46 × 38.93
  4. Step 4: Simplify right side
    90.31x = 5,272.68
  5. Step 5: Solve for x
    x = 5,272.68/90.31
  6. Step 6: Final answer
    x = 58.39

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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.