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Finding the Fourth Proportional to 372.12, 514.14 and 283.92

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Solution

The fourth proportional to 372.12, 514.14 and 283.92 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.12 : 514.14 = 283.92 : x
  2. Step 2: Convert to fraction form
    372.12/514.14 = 283.92/x
  3. Step 3: Cross multiply
    372.12x = 514.14 × 283.92
  4. Step 4: Simplify right side
    372.12x = 145,974.63
  5. Step 5: Solve for x
    x = 145,974.63/372.12
  6. Step 6: Final answer
    x = 392.28

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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.