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Finding the Fourth Proportional to 385.52, 577.53 and 238.83

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Solution

The fourth proportional to 385.52, 577.53 and 238.83 is: 357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.52 : 577.53 = 238.83 : x
  2. Step 2: Convert to fraction form
    385.52/577.53 = 238.83/x
  3. Step 3: Cross multiply
    385.52x = 577.53 × 238.83
  4. Step 4: Simplify right side
    385.52x = 137,931.49
  5. Step 5: Solve for x
    x = 137,931.49/385.52
  6. Step 6: Final answer
    x = 357.79

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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.