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Finding the Fourth Proportional to 385.85, 577.05 and 342.79

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Solution

The fourth proportional to 385.85, 577.05 and 342.79 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.85 : 577.05 = 342.79 : x
  2. Step 2: Convert to fraction form
    385.85/577.05 = 342.79/x
  3. Step 3: Cross multiply
    385.85x = 577.05 × 342.79
  4. Step 4: Simplify right side
    385.85x = 197,805.53
  5. Step 5: Solve for x
    x = 197,805.53/385.85
  6. Step 6: Final answer
    x = 512.65

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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.