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Finding the Fourth Proportional to 545.25, 752.63 and 338.25

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Solution

The fourth proportional to 545.25, 752.63 and 338.25 is: 466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 752.63 = 338.25 : x
  2. Step 2: Convert to fraction form
    545.25/752.63 = 338.25/x
  3. Step 3: Cross multiply
    545.25x = 752.63 × 338.25
  4. Step 4: Simplify right side
    545.25x = 254,575.41
  5. Step 5: Solve for x
    x = 254,575.41/545.25
  6. Step 6: Final answer
    x = 466.90

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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.