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Finding the Fourth Proportional to 545.68, 817.97 and 180.23

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Solution

The fourth proportional to 545.68, 817.97 and 180.23 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.68 : 817.97 = 180.23 : x
  2. Step 2: Convert to fraction form
    545.68/817.97 = 180.23/x
  3. Step 3: Cross multiply
    545.68x = 817.97 × 180.23
  4. Step 4: Simplify right side
    545.68x = 147,425.23
  5. Step 5: Solve for x
    x = 147,425.23/545.68
  6. Step 6: Final answer
    x = 270.17

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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.