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Finding the Fourth Proportional to 545.46, 818.19 and 257.10

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Solution

The fourth proportional to 545.46, 818.19 and 257.10 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 818.19 = 257.10 : x
  2. Step 2: Convert to fraction form
    545.46/818.19 = 257.10/x
  3. Step 3: Cross multiply
    545.46x = 818.19 × 257.10
  4. Step 4: Simplify right side
    545.46x = 210,356.65
  5. Step 5: Solve for x
    x = 210,356.65/545.46
  6. Step 6: Final answer
    x = 385.65

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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.