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Finding the Fourth Proportional to 545.93, 819.03 and 237.84

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Solution

The fourth proportional to 545.93, 819.03 and 237.84 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.93 : 819.03 = 237.84 : x
  2. Step 2: Convert to fraction form
    545.93/819.03 = 237.84/x
  3. Step 3: Cross multiply
    545.93x = 819.03 × 237.84
  4. Step 4: Simplify right side
    545.93x = 194,798.10
  5. Step 5: Solve for x
    x = 194,798.10/545.93
  6. Step 6: Final answer
    x = 356.82

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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.