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Finding the Fourth Proportional to 545.02, 752.10 and 296.34

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Solution

The fourth proportional to 545.02, 752.10 and 296.34 is: 408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 752.10 = 296.34 : x
  2. Step 2: Convert to fraction form
    545.02/752.10 = 296.34/x
  3. Step 3: Cross multiply
    545.02x = 752.10 × 296.34
  4. Step 4: Simplify right side
    545.02x = 222,876.44
  5. Step 5: Solve for x
    x = 222,876.44/545.02
  6. Step 6: Final answer
    x = 408.93

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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.