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Finding the Fourth Proportional to 267.57, 402.77 and 191.07

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Solution

The fourth proportional to 267.57, 402.77 and 191.07 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 402.77 = 191.07 : x
  2. Step 2: Convert to fraction form
    267.57/402.77 = 191.07/x
  3. Step 3: Cross multiply
    267.57x = 402.77 × 191.07
  4. Step 4: Simplify right side
    267.57x = 76,957.74
  5. Step 5: Solve for x
    x = 76,957.74/267.57
  6. Step 6: Final answer
    x = 287.62

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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.