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Finding the Fourth Proportional to 301.25, 451.27 and 138.71

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Solution

The fourth proportional to 301.25, 451.27 and 138.71 is: 207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.25 : 451.27 = 138.71 : x
  2. Step 2: Convert to fraction form
    301.25/451.27 = 138.71/x
  3. Step 3: Cross multiply
    301.25x = 451.27 × 138.71
  4. Step 4: Simplify right side
    301.25x = 62,595.66
  5. Step 5: Solve for x
    x = 62,595.66/301.25
  6. Step 6: Final answer
    x = 207.79

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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.