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Finding the Fourth Proportional to 545.32, 817.78 and 198.60

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Solution

The fourth proportional to 545.32, 817.78 and 198.60 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.32 : 817.78 = 198.60 : x
  2. Step 2: Convert to fraction form
    545.32/817.78 = 198.60/x
  3. Step 3: Cross multiply
    545.32x = 817.78 × 198.60
  4. Step 4: Simplify right side
    545.32x = 162,411.11
  5. Step 5: Solve for x
    x = 162,411.11/545.32
  6. Step 6: Final answer
    x = 297.83

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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.