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Finding the Fourth Proportional to 402.86, 552.22 and 397.39

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Solution

The fourth proportional to 402.86, 552.22 and 397.39 is: 544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.86 : 552.22 = 397.39 : x
  2. Step 2: Convert to fraction form
    402.86/552.22 = 397.39/x
  3. Step 3: Cross multiply
    402.86x = 552.22 × 397.39
  4. Step 4: Simplify right side
    402.86x = 219,446.71
  5. Step 5: Solve for x
    x = 219,446.71/402.86
  6. Step 6: Final answer
    x = 544.72

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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.