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Finding the Fourth Proportional to 395.31, 545.22 and 343.47

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Solution

The fourth proportional to 395.31, 545.22 and 343.47 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 545.22 = 343.47 : x
  2. Step 2: Convert to fraction form
    395.31/545.22 = 343.47/x
  3. Step 3: Cross multiply
    395.31x = 545.22 × 343.47
  4. Step 4: Simplify right side
    395.31x = 187,266.71
  5. Step 5: Solve for x
    x = 187,266.71/395.31
  6. Step 6: Final answer
    x = 473.72

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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.