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Finding the Fourth Proportional to 545.44, 752.72 and 296.78

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Solution

The fourth proportional to 545.44, 752.72 and 296.78 is: 409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 752.72 = 296.78 : x
  2. Step 2: Convert to fraction form
    545.44/752.72 = 296.78/x
  3. Step 3: Cross multiply
    545.44x = 752.72 × 296.78
  4. Step 4: Simplify right side
    545.44x = 223,392.24
  5. Step 5: Solve for x
    x = 223,392.24/545.44
  6. Step 6: Final answer
    x = 409.56

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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.