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Finding the Fourth Proportional to 545.66, 752.99 and 296.97

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Solution

The fourth proportional to 545.66, 752.99 and 296.97 is: 409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.66 : 752.99 = 296.97 : x
  2. Step 2: Convert to fraction form
    545.66/752.99 = 296.97/x
  3. Step 3: Cross multiply
    545.66x = 752.99 × 296.97
  4. Step 4: Simplify right side
    545.66x = 223,615.44
  5. Step 5: Solve for x
    x = 223,615.44/545.66
  6. Step 6: Final answer
    x = 409.81

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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.