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Finding the Fourth Proportional to 254.60, 380.93 and 177.71

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Solution

The fourth proportional to 254.60, 380.93 and 177.71 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.60 : 380.93 = 177.71 : x
  2. Step 2: Convert to fraction form
    254.60/380.93 = 177.71/x
  3. Step 3: Cross multiply
    254.60x = 380.93 × 177.71
  4. Step 4: Simplify right side
    254.60x = 67,693.17
  5. Step 5: Solve for x
    x = 67,693.17/254.60
  6. Step 6: Final answer
    x = 265.88

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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.