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Finding the Fourth Proportional to 258.68, 387.56 and 177.68

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Solution

The fourth proportional to 258.68, 387.56 and 177.68 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 387.56 = 177.68 : x
  2. Step 2: Convert to fraction form
    258.68/387.56 = 177.68/x
  3. Step 3: Cross multiply
    258.68x = 387.56 × 177.68
  4. Step 4: Simplify right side
    258.68x = 68,861.66
  5. Step 5: Solve for x
    x = 68,861.66/258.68
  6. Step 6: Final answer
    x = 266.20

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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.