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Finding the Fourth Proportional to 297.58, 447.98 and 267.81

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Solution

The fourth proportional to 297.58, 447.98 and 267.81 is: 403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 447.98 = 267.81 : x
  2. Step 2: Convert to fraction form
    297.58/447.98 = 267.81/x
  3. Step 3: Cross multiply
    297.58x = 447.98 × 267.81
  4. Step 4: Simplify right side
    297.58x = 119,973.52
  5. Step 5: Solve for x
    x = 119,973.52/297.58
  6. Step 6: Final answer
    x = 403.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.