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Finding the Fourth Proportional to 484.01, 725.33 and 278.64

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Solution

The fourth proportional to 484.01, 725.33 and 278.64 is: 417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.01 : 725.33 = 278.64 : x
  2. Step 2: Convert to fraction form
    484.01/725.33 = 278.64/x
  3. Step 3: Cross multiply
    484.01x = 725.33 × 278.64
  4. Step 4: Simplify right side
    484.01x = 202,104.56
  5. Step 5: Solve for x
    x = 202,104.56/484.01
  6. Step 6: Final answer
    x = 417.57

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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.