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Finding the Fourth Proportional to 370.76, 552.22 and 351.24

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Solution

The fourth proportional to 370.76, 552.22 and 351.24 is: 523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 552.22 = 351.24 : x
  2. Step 2: Convert to fraction form
    370.76/552.22 = 351.24/x
  3. Step 3: Cross multiply
    370.76x = 552.22 × 351.24
  4. Step 4: Simplify right side
    370.76x = 193,961.91
  5. Step 5: Solve for x
    x = 193,961.91/370.76
  6. Step 6: Final answer
    x = 523.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.