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Finding the Fourth Proportional to 395.52, 545.86 and 271.25

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Solution

The fourth proportional to 395.52, 545.86 and 271.25 is: 374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.52 : 545.86 = 271.25 : x
  2. Step 2: Convert to fraction form
    395.52/545.86 = 271.25/x
  3. Step 3: Cross multiply
    395.52x = 545.86 × 271.25
  4. Step 4: Simplify right side
    395.52x = 148,064.53
  5. Step 5: Solve for x
    x = 148,064.53/395.52
  6. Step 6: Final answer
    x = 374.35

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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.