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Finding the Fourth Proportional to 484.31, 726.51 and 278.48

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Solution

The fourth proportional to 484.31, 726.51 and 278.48 is: 417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.31 : 726.51 = 278.48 : x
  2. Step 2: Convert to fraction form
    484.31/726.51 = 278.48/x
  3. Step 3: Cross multiply
    484.31x = 726.51 × 278.48
  4. Step 4: Simplify right side
    484.31x = 202,318.50
  5. Step 5: Solve for x
    x = 202,318.50/484.31
  6. Step 6: Final answer
    x = 417.75

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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.