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Finding the Fourth Proportional to 381.31, 524.79 and 314.39

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Solution

The fourth proportional to 381.31, 524.79 and 314.39 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.31 : 524.79 = 314.39 : x
  2. Step 2: Convert to fraction form
    381.31/524.79 = 314.39/x
  3. Step 3: Cross multiply
    381.31x = 524.79 × 314.39
  4. Step 4: Simplify right side
    381.31x = 164,988.20
  5. Step 5: Solve for x
    x = 164,988.20/381.31
  6. Step 6: Final answer
    x = 432.69

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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.