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Finding the Fourth Proportional to 291.79, 401.61 and 204.31

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Solution

The fourth proportional to 291.79, 401.61 and 204.31 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 401.61 = 204.31 : x
  2. Step 2: Convert to fraction form
    291.79/401.61 = 204.31/x
  3. Step 3: Cross multiply
    291.79x = 401.61 × 204.31
  4. Step 4: Simplify right side
    291.79x = 82,052.70
  5. Step 5: Solve for x
    x = 82,052.70/291.79
  6. Step 6: Final answer
    x = 281.21

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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.