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Finding the Fourth Proportional to 395.90, 545.16 and 285.18

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Solution

The fourth proportional to 395.90, 545.16 and 285.18 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.90 : 545.16 = 285.18 : x
  2. Step 2: Convert to fraction form
    395.90/545.16 = 285.18/x
  3. Step 3: Cross multiply
    395.90x = 545.16 × 285.18
  4. Step 4: Simplify right side
    395.90x = 155,468.73
  5. Step 5: Solve for x
    x = 155,468.73/395.90
  6. Step 6: Final answer
    x = 392.70

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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.