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Finding the Fourth Proportional to 545.50, 752.81 and 296.83

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Solution

The fourth proportional to 545.50, 752.81 and 296.83 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.50 : 752.81 = 296.83 : x
  2. Step 2: Convert to fraction form
    545.50/752.81 = 296.83/x
  3. Step 3: Cross multiply
    545.50x = 752.81 × 296.83
  4. Step 4: Simplify right side
    545.50x = 223,456.47
  5. Step 5: Solve for x
    x = 223,456.47/545.50
  6. Step 6: Final answer
    x = 409.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.