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Finding the Fourth Proportional to 385.89, 532.18 and 307.11

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Solution

The fourth proportional to 385.89, 532.18 and 307.11 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.89 : 532.18 = 307.11 : x
  2. Step 2: Convert to fraction form
    385.89/532.18 = 307.11/x
  3. Step 3: Cross multiply
    385.89x = 532.18 × 307.11
  4. Step 4: Simplify right side
    385.89x = 163,437.80
  5. Step 5: Solve for x
    x = 163,437.80/385.89
  6. Step 6: Final answer
    x = 423.53

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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.