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Finding the Fourth Proportional to 385.96, 532.07 and 307.31

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Solution

The fourth proportional to 385.96, 532.07 and 307.31 is: 423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 532.07 = 307.31 : x
  2. Step 2: Convert to fraction form
    385.96/532.07 = 307.31/x
  3. Step 3: Cross multiply
    385.96x = 532.07 × 307.31
  4. Step 4: Simplify right side
    385.96x = 163,510.43
  5. Step 5: Solve for x
    x = 163,510.43/385.96
  6. Step 6: Final answer
    x = 423.65

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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.