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Finding the Fourth Proportional to 385.25, 577.76 and 125.24

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Solution

The fourth proportional to 385.25, 577.76 and 125.24 is: 187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.25 : 577.76 = 125.24 : x
  2. Step 2: Convert to fraction form
    385.25/577.76 = 125.24/x
  3. Step 3: Cross multiply
    385.25x = 577.76 × 125.24
  4. Step 4: Simplify right side
    385.25x = 72,355.15
  5. Step 5: Solve for x
    x = 72,355.15/385.25
  6. Step 6: Final answer
    x = 187.82

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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.