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Finding the Fourth Proportional to 309.48, 425.82 and 267.90

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Solution

The fourth proportional to 309.48, 425.82 and 267.90 is: 368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 425.82 = 267.90 : x
  2. Step 2: Convert to fraction form
    309.48/425.82 = 267.90/x
  3. Step 3: Cross multiply
    309.48x = 425.82 × 267.90
  4. Step 4: Simplify right side
    309.48x = 114,077.18
  5. Step 5: Solve for x
    x = 114,077.18/309.48
  6. Step 6: Final answer
    x = 368.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.