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Finding the Fourth Proportional to 113.18, 169.91 and 59.11

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Solution

The fourth proportional to 113.18, 169.91 and 59.11 is: 88.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.18 : 169.91 = 59.11 : x
  2. Step 2: Convert to fraction form
    113.18/169.91 = 59.11/x
  3. Step 3: Cross multiply
    113.18x = 169.91 × 59.11
  4. Step 4: Simplify right side
    113.18x = 10,043.10
  5. Step 5: Solve for x
    x = 10,043.10/113.18
  6. Step 6: Final answer
    x = 88.74

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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.