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Finding the Fourth Proportional to 372.91, 514.63 and 225.46

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Solution

The fourth proportional to 372.91, 514.63 and 225.46 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.91 : 514.63 = 225.46 : x
  2. Step 2: Convert to fraction form
    372.91/514.63 = 225.46/x
  3. Step 3: Cross multiply
    372.91x = 514.63 × 225.46
  4. Step 4: Simplify right side
    372.91x = 116,028.56
  5. Step 5: Solve for x
    x = 116,028.56/372.91
  6. Step 6: Final answer
    x = 311.14

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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.