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Finding the Fourth Proportional to 545.61, 817.10 and 271.02

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Solution

The fourth proportional to 545.61, 817.10 and 271.02 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.61 : 817.10 = 271.02 : x
  2. Step 2: Convert to fraction form
    545.61/817.10 = 271.02/x
  3. Step 3: Cross multiply
    545.61x = 817.10 × 271.02
  4. Step 4: Simplify right side
    545.61x = 221,450.44
  5. Step 5: Solve for x
    x = 221,450.44/545.61
  6. Step 6: Final answer
    x = 405.88

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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.