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Finding the Fourth Proportional to 267.77, 369.65 and 169.58

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Solution

The fourth proportional to 267.77, 369.65 and 169.58 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.77 : 369.65 = 169.58 : x
  2. Step 2: Convert to fraction form
    267.77/369.65 = 169.58/x
  3. Step 3: Cross multiply
    267.77x = 369.65 × 169.58
  4. Step 4: Simplify right side
    267.77x = 62,685.25
  5. Step 5: Solve for x
    x = 62,685.25/267.77
  6. Step 6: Final answer
    x = 234.10

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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.