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Finding the Fourth Proportional to 484, 725.96 and 240.44

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Solution

The fourth proportional to 484, 725.96 and 240.44 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 725.96 = 240.44 : x
  2. Step 2: Convert to fraction form
    484/725.96 = 240.44/x
  3. Step 3: Cross multiply
    484x = 725.96 × 240.44
  4. Step 4: Simplify right side
    484x = 174,549.82
  5. Step 5: Solve for x
    x = 174,549.82/484
  6. Step 6: Final answer
    x = 360.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.