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Finding the Fourth Proportional to 291.78, 402.64 and 160.77

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Solution

The fourth proportional to 291.78, 402.64 and 160.77 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 402.64 = 160.77 : x
  2. Step 2: Convert to fraction form
    291.78/402.64 = 160.77/x
  3. Step 3: Cross multiply
    291.78x = 402.64 × 160.77
  4. Step 4: Simplify right side
    291.78x = 64,732.43
  5. Step 5: Solve for x
    x = 64,732.43/291.78
  6. Step 6: Final answer
    x = 221.85

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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.