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Finding the Fourth Proportional to 250.98, 345.71 and 177.17

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Solution

The fourth proportional to 250.98, 345.71 and 177.17 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.98 : 345.71 = 177.17 : x
  2. Step 2: Convert to fraction form
    250.98/345.71 = 177.17/x
  3. Step 3: Cross multiply
    250.98x = 345.71 × 177.17
  4. Step 4: Simplify right side
    250.98x = 61,248.55
  5. Step 5: Solve for x
    x = 61,248.55/250.98
  6. Step 6: Final answer
    x = 244.04

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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.