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Finding the Fourth Proportional to 545.02, 817.76 and 179.91

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Solution

The fourth proportional to 545.02, 817.76 and 179.91 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 817.76 = 179.91 : x
  2. Step 2: Convert to fraction form
    545.02/817.76 = 179.91/x
  3. Step 3: Cross multiply
    545.02x = 817.76 × 179.91
  4. Step 4: Simplify right side
    545.02x = 147,122.30
  5. Step 5: Solve for x
    x = 147,122.30/545.02
  6. Step 6: Final answer
    x = 269.94

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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.