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Finding the Fourth Proportional to 169.01, 232.72 and 155.96

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Solution

The fourth proportional to 169.01, 232.72 and 155.96 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.01 : 232.72 = 155.96 : x
  2. Step 2: Convert to fraction form
    169.01/232.72 = 155.96/x
  3. Step 3: Cross multiply
    169.01x = 232.72 × 155.96
  4. Step 4: Simplify right side
    169.01x = 36,293.46
  5. Step 5: Solve for x
    x = 36,293.46/169.01
  6. Step 6: Final answer
    x = 214.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.