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Finding the Fourth Proportional to 291.41, 434.90 and 271.97

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Solution

The fourth proportional to 291.41, 434.90 and 271.97 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.41 : 434.90 = 271.97 : x
  2. Step 2: Convert to fraction form
    291.41/434.90 = 271.97/x
  3. Step 3: Cross multiply
    291.41x = 434.90 × 271.97
  4. Step 4: Simplify right side
    291.41x = 118,279.75
  5. Step 5: Solve for x
    x = 118,279.75/291.41
  6. Step 6: Final answer
    x = 405.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.