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Finding the Fourth Proportional to 267.74, 401.35 and 164.71

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Solution

The fourth proportional to 267.74, 401.35 and 164.71 is: 246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.74 : 401.35 = 164.71 : x
  2. Step 2: Convert to fraction form
    267.74/401.35 = 164.71/x
  3. Step 3: Cross multiply
    267.74x = 401.35 × 164.71
  4. Step 4: Simplify right side
    267.74x = 66,105.51
  5. Step 5: Solve for x
    x = 66,105.51/267.74
  6. Step 6: Final answer
    x = 246.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.