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Finding the Fourth Proportional to 545.10, 817.71 and 198.39

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Solution

The fourth proportional to 545.10, 817.71 and 198.39 is: 297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 817.71 = 198.39 : x
  2. Step 2: Convert to fraction form
    545.10/817.71 = 198.39/x
  3. Step 3: Cross multiply
    545.10x = 817.71 × 198.39
  4. Step 4: Simplify right side
    545.10x = 162,225.49
  5. Step 5: Solve for x
    x = 162,225.49/545.10
  6. Step 6: Final answer
    x = 297.61

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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.