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Finding the Fourth Proportional to 295.30, 406.59 and 267.97

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Solution

The fourth proportional to 295.30, 406.59 and 267.97 is: 368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 406.59 = 267.97 : x
  2. Step 2: Convert to fraction form
    295.30/406.59 = 267.97/x
  3. Step 3: Cross multiply
    295.30x = 406.59 × 267.97
  4. Step 4: Simplify right side
    295.30x = 108,951.22
  5. Step 5: Solve for x
    x = 108,951.22/295.30
  6. Step 6: Final answer
    x = 368.95

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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.