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Finding the Fourth Proportional to 105.53, 158.31 and 59.90

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Solution

The fourth proportional to 105.53, 158.31 and 59.90 is: 89.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.53 : 158.31 = 59.90 : x
  2. Step 2: Convert to fraction form
    105.53/158.31 = 59.90/x
  3. Step 3: Cross multiply
    105.53x = 158.31 × 59.90
  4. Step 4: Simplify right side
    105.53x = 9,481.98
  5. Step 5: Solve for x
    x = 9,481.98/105.53
  6. Step 6: Final answer
    x = 89.86

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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.