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Finding the Fourth Proportional to 545.01, 752.12 and 296.34

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Solution

The fourth proportional to 545.01, 752.12 and 296.34 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.01 : 752.12 = 296.34 : x
  2. Step 2: Convert to fraction form
    545.01/752.12 = 296.34/x
  3. Step 3: Cross multiply
    545.01x = 752.12 × 296.34
  4. Step 4: Simplify right side
    545.01x = 222,883.24
  5. Step 5: Solve for x
    x = 222,883.24/545.01
  6. Step 6: Final answer
    x = 408.95

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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.