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Finding the Fourth Proportional to 545.25, 752.44 and 309.21

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Solution

The fourth proportional to 545.25, 752.44 and 309.21 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 752.44 = 309.21 : x
  2. Step 2: Convert to fraction form
    545.25/752.44 = 309.21/x
  3. Step 3: Cross multiply
    545.25x = 752.44 × 309.21
  4. Step 4: Simplify right side
    545.25x = 232,661.97
  5. Step 5: Solve for x
    x = 232,661.97/545.25
  6. Step 6: Final answer
    x = 426.71

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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.