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Finding the Fourth Proportional to 395.43, 545.73 and 238.11

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Solution

The fourth proportional to 395.43, 545.73 and 238.11 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.43 : 545.73 = 238.11 : x
  2. Step 2: Convert to fraction form
    395.43/545.73 = 238.11/x
  3. Step 3: Cross multiply
    395.43x = 545.73 × 238.11
  4. Step 4: Simplify right side
    395.43x = 129,943.77
  5. Step 5: Solve for x
    x = 129,943.77/395.43
  6. Step 6: Final answer
    x = 328.61

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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.