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Finding the Fourth Proportional to 177.64, 244.98 and 125.20

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Solution

The fourth proportional to 177.64, 244.98 and 125.20 is: 172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 244.98 = 125.20 : x
  2. Step 2: Convert to fraction form
    177.64/244.98 = 125.20/x
  3. Step 3: Cross multiply
    177.64x = 244.98 × 125.20
  4. Step 4: Simplify right side
    177.64x = 30,671.50
  5. Step 5: Solve for x
    x = 30,671.50/177.64
  6. Step 6: Final answer
    x = 172.66

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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.