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Finding the Fourth Proportional to 385.35, 532.08 and 311.55

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Solution

The fourth proportional to 385.35, 532.08 and 311.55 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 532.08 = 311.55 : x
  2. Step 2: Convert to fraction form
    385.35/532.08 = 311.55/x
  3. Step 3: Cross multiply
    385.35x = 532.08 × 311.55
  4. Step 4: Simplify right side
    385.35x = 165,769.52
  5. Step 5: Solve for x
    x = 165,769.52/385.35
  6. Step 6: Final answer
    x = 430.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.