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Finding the Fourth Proportional to 291.78, 402.65 and 160.79

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Solution

The fourth proportional to 291.78, 402.65 and 160.79 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 402.65 = 160.79 : x
  2. Step 2: Convert to fraction form
    291.78/402.65 = 160.79/x
  3. Step 3: Cross multiply
    291.78x = 402.65 × 160.79
  4. Step 4: Simplify right side
    291.78x = 64,739.28
  5. Step 5: Solve for x
    x = 64,739.28/291.78
  6. Step 6: Final answer
    x = 221.88

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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.