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Finding the Fourth Proportional to 385.72, 532.86 and 312.52

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Solution

The fourth proportional to 385.72, 532.86 and 312.52 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.72 : 532.86 = 312.52 : x
  2. Step 2: Convert to fraction form
    385.72/532.86 = 312.52/x
  3. Step 3: Cross multiply
    385.72x = 532.86 × 312.52
  4. Step 4: Simplify right side
    385.72x = 166,529.41
  5. Step 5: Solve for x
    x = 166,529.41/385.72
  6. Step 6: Final answer
    x = 431.74

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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.