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Finding the Fourth Proportional to 545.29, 817.26 and 220.48

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Solution

The fourth proportional to 545.29, 817.26 and 220.48 is: 330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.29 : 817.26 = 220.48 : x
  2. Step 2: Convert to fraction form
    545.29/817.26 = 220.48/x
  3. Step 3: Cross multiply
    545.29x = 817.26 × 220.48
  4. Step 4: Simplify right side
    545.29x = 180,189.48
  5. Step 5: Solve for x
    x = 180,189.48/545.29
  6. Step 6: Final answer
    x = 330.45

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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.