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Finding the Fourth Proportional to 397.29, 545.33 and 380.38

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Solution

The fourth proportional to 397.29, 545.33 and 380.38 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 545.33 = 380.38 : x
  2. Step 2: Convert to fraction form
    397.29/545.33 = 380.38/x
  3. Step 3: Cross multiply
    397.29x = 545.33 × 380.38
  4. Step 4: Simplify right side
    397.29x = 207,432.63
  5. Step 5: Solve for x
    x = 207,432.63/397.29
  6. Step 6: Final answer
    x = 522.12

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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.