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Finding the Fourth Proportional to 545.17, 817.76 and 160.39

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Solution

The fourth proportional to 545.17, 817.76 and 160.39 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.17 : 817.76 = 160.39 : x
  2. Step 2: Convert to fraction form
    545.17/817.76 = 160.39/x
  3. Step 3: Cross multiply
    545.17x = 817.76 × 160.39
  4. Step 4: Simplify right side
    545.17x = 131,159.72
  5. Step 5: Solve for x
    x = 131,159.72/545.17
  6. Step 6: Final answer
    x = 240.59

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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.