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Finding the Fourth Proportional to 113.45, 169.16 and 113.30

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Solution

The fourth proportional to 113.45, 169.16 and 113.30 is: 168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.45 : 169.16 = 113.30 : x
  2. Step 2: Convert to fraction form
    113.45/169.16 = 113.30/x
  3. Step 3: Cross multiply
    113.45x = 169.16 × 113.30
  4. Step 4: Simplify right side
    113.45x = 19,164.98
  5. Step 5: Solve for x
    x = 19,164.98/113.45
  6. Step 6: Final answer
    x = 168.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.