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Finding the Fourth Proportional to 545.76, 818.82 and 221.40

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Solution

The fourth proportional to 545.76, 818.82 and 221.40 is: 332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 818.82 = 221.40 : x
  2. Step 2: Convert to fraction form
    545.76/818.82 = 221.40/x
  3. Step 3: Cross multiply
    545.76x = 818.82 × 221.40
  4. Step 4: Simplify right side
    545.76x = 181,286.75
  5. Step 5: Solve for x
    x = 181,286.75/545.76
  6. Step 6: Final answer
    x = 332.17

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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.