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Finding the Fourth Proportional to 289.80, 431.96 and 267.92

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Solution

The fourth proportional to 289.80, 431.96 and 267.92 is: 399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 431.96 = 267.92 : x
  2. Step 2: Convert to fraction form
    289.80/431.96 = 267.92/x
  3. Step 3: Cross multiply
    289.80x = 431.96 × 267.92
  4. Step 4: Simplify right side
    289.80x = 115,730.72
  5. Step 5: Solve for x
    x = 115,730.72/289.80
  6. Step 6: Final answer
    x = 399.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.