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Finding the Fourth Proportional to 172.52, 257.53 and 147.88

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Solution

The fourth proportional to 172.52, 257.53 and 147.88 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.52 : 257.53 = 147.88 : x
  2. Step 2: Convert to fraction form
    172.52/257.53 = 147.88/x
  3. Step 3: Cross multiply
    172.52x = 257.53 × 147.88
  4. Step 4: Simplify right side
    172.52x = 38,082.62
  5. Step 5: Solve for x
    x = 38,082.62/172.52
  6. Step 6: Final answer
    x = 220.75

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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.