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Finding the Fourth Proportional to 372.88, 512.27 and 363.16

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Solution

The fourth proportional to 372.88, 512.27 and 363.16 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.88 : 512.27 = 363.16 : x
  2. Step 2: Convert to fraction form
    372.88/512.27 = 363.16/x
  3. Step 3: Cross multiply
    372.88x = 512.27 × 363.16
  4. Step 4: Simplify right side
    372.88x = 186,035.97
  5. Step 5: Solve for x
    x = 186,035.97/372.88
  6. Step 6: Final answer
    x = 498.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.