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Finding the Fourth Proportional to 545.52, 817.97 and 180.27

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Solution

The fourth proportional to 545.52, 817.97 and 180.27 is: 270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 817.97 = 180.27 : x
  2. Step 2: Convert to fraction form
    545.52/817.97 = 180.27/x
  3. Step 3: Cross multiply
    545.52x = 817.97 × 180.27
  4. Step 4: Simplify right side
    545.52x = 147,454.55
  5. Step 5: Solve for x
    x = 147,454.55/545.52
  6. Step 6: Final answer
    x = 270.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.