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Finding the Fourth Proportional to 545.50, 818.28 and 160.78

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Solution

The fourth proportional to 545.50, 818.28 and 160.78 is: 241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.50 : 818.28 = 160.78 : x
  2. Step 2: Convert to fraction form
    545.50/818.28 = 160.78/x
  3. Step 3: Cross multiply
    545.50x = 818.28 × 160.78
  4. Step 4: Simplify right side
    545.50x = 131,563.06
  5. Step 5: Solve for x
    x = 131,563.06/545.50
  6. Step 6: Final answer
    x = 241.18

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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.