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Finding the Fourth Proportional to 169.16, 253.72 and 115.28

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Solution

The fourth proportional to 169.16, 253.72 and 115.28 is: 172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 253.72 = 115.28 : x
  2. Step 2: Convert to fraction form
    169.16/253.72 = 115.28/x
  3. Step 3: Cross multiply
    169.16x = 253.72 × 115.28
  4. Step 4: Simplify right side
    169.16x = 29,248.84
  5. Step 5: Solve for x
    x = 29,248.84/169.16
  6. Step 6: Final answer
    x = 172.91

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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.