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Finding the Fourth Proportional to 385.12, 577.71 and 125.02

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Solution

The fourth proportional to 385.12, 577.71 and 125.02 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.12 : 577.71 = 125.02 : x
  2. Step 2: Convert to fraction form
    385.12/577.71 = 125.02/x
  3. Step 3: Cross multiply
    385.12x = 577.71 × 125.02
  4. Step 4: Simplify right side
    385.12x = 72,225.30
  5. Step 5: Solve for x
    x = 72,225.30/385.12
  6. Step 6: Final answer
    x = 187.54

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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.