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Finding the Fourth Proportional to 484.08, 727.50 and 240.78

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Solution

The fourth proportional to 484.08, 727.50 and 240.78 is: 361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 727.50 = 240.78 : x
  2. Step 2: Convert to fraction form
    484.08/727.50 = 240.78/x
  3. Step 3: Cross multiply
    484.08x = 727.50 × 240.78
  4. Step 4: Simplify right side
    484.08x = 175,167.45
  5. Step 5: Solve for x
    x = 175,167.45/484.08
  6. Step 6: Final answer
    x = 361.86

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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.