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Finding the Fourth Proportional to 291.14, 401.76 and 166.78

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Solution

The fourth proportional to 291.14, 401.76 and 166.78 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 401.76 = 166.78 : x
  2. Step 2: Convert to fraction form
    291.14/401.76 = 166.78/x
  3. Step 3: Cross multiply
    291.14x = 401.76 × 166.78
  4. Step 4: Simplify right side
    291.14x = 67,005.53
  5. Step 5: Solve for x
    x = 67,005.53/291.14
  6. Step 6: Final answer
    x = 230.15

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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.