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Finding the Fourth Proportional to 90.24, 135.32 and 44.61

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Solution

The fourth proportional to 90.24, 135.32 and 44.61 is: 66.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.24 : 135.32 = 44.61 : x
  2. Step 2: Convert to fraction form
    90.24/135.32 = 44.61/x
  3. Step 3: Cross multiply
    90.24x = 135.32 × 44.61
  4. Step 4: Simplify right side
    90.24x = 6,036.63
  5. Step 5: Solve for x
    x = 6,036.63/90.24
  6. Step 6: Final answer
    x = 66.90

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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.