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Finding the Fourth Proportional to 545.32, 752.55 and 296.64

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Solution

The fourth proportional to 545.32, 752.55 and 296.64 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.32 : 752.55 = 296.64 : x
  2. Step 2: Convert to fraction form
    545.32/752.55 = 296.64/x
  3. Step 3: Cross multiply
    545.32x = 752.55 × 296.64
  4. Step 4: Simplify right side
    545.32x = 223,234.95
  5. Step 5: Solve for x
    x = 223,234.95/545.32
  6. Step 6: Final answer
    x = 409.37

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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.