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Finding the Fourth Proportional to 291.91, 402.83 and 159.13

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Solution

The fourth proportional to 291.91, 402.83 and 159.13 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.91 : 402.83 = 159.13 : x
  2. Step 2: Convert to fraction form
    291.91/402.83 = 159.13/x
  3. Step 3: Cross multiply
    291.91x = 402.83 × 159.13
  4. Step 4: Simplify right side
    291.91x = 64,103.92
  5. Step 5: Solve for x
    x = 64,103.92/291.91
  6. Step 6: Final answer
    x = 219.60

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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.