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Finding the Fourth Proportional to 545.12, 752.16 and 324.14

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Solution

The fourth proportional to 545.12, 752.16 and 324.14 is: 447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.12 : 752.16 = 324.14 : x
  2. Step 2: Convert to fraction form
    545.12/752.16 = 324.14/x
  3. Step 3: Cross multiply
    545.12x = 752.16 × 324.14
  4. Step 4: Simplify right side
    545.12x = 243,805.14
  5. Step 5: Solve for x
    x = 243,805.14/545.12
  6. Step 6: Final answer
    x = 447.25

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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.