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Finding the Fourth Proportional to 545.27, 752.49 and 309.15

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Solution

The fourth proportional to 545.27, 752.49 and 309.15 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.27 : 752.49 = 309.15 : x
  2. Step 2: Convert to fraction form
    545.27/752.49 = 309.15/x
  3. Step 3: Cross multiply
    545.27x = 752.49 × 309.15
  4. Step 4: Simplify right side
    545.27x = 232,632.28
  5. Step 5: Solve for x
    x = 232,632.28/545.27
  6. Step 6: Final answer
    x = 426.64

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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.