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Finding the Fourth Proportional to 545.41, 818.30 and 237.11

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Solution

The fourth proportional to 545.41, 818.30 and 237.11 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 818.30 = 237.11 : x
  2. Step 2: Convert to fraction form
    545.41/818.30 = 237.11/x
  3. Step 3: Cross multiply
    545.41x = 818.30 × 237.11
  4. Step 4: Simplify right side
    545.41x = 194,023.02
  5. Step 5: Solve for x
    x = 194,023.02/545.41
  6. Step 6: Final answer
    x = 355.74

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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.