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Finding the Fourth Proportional to 545.31, 752.46 and 324.21

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Solution

The fourth proportional to 545.31, 752.46 and 324.21 is: 447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.31 : 752.46 = 324.21 : x
  2. Step 2: Convert to fraction form
    545.31/752.46 = 324.21/x
  3. Step 3: Cross multiply
    545.31x = 752.46 × 324.21
  4. Step 4: Simplify right side
    545.31x = 243,955.06
  5. Step 5: Solve for x
    x = 243,955.06/545.31
  6. Step 6: Final answer
    x = 447.37

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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.