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Finding the Fourth Proportional to 545.52, 817.92 and 198.79

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Solution

The fourth proportional to 545.52, 817.92 and 198.79 is: 298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 817.92 = 198.79 : x
  2. Step 2: Convert to fraction form
    545.52/817.92 = 198.79/x
  3. Step 3: Cross multiply
    545.52x = 817.92 × 198.79
  4. Step 4: Simplify right side
    545.52x = 162,594.32
  5. Step 5: Solve for x
    x = 162,594.32/545.52
  6. Step 6: Final answer
    x = 298.05

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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.