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Finding the Fourth Proportional to 291.85, 402.82 and 193.52

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Solution

The fourth proportional to 291.85, 402.82 and 193.52 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.85 : 402.82 = 193.52 : x
  2. Step 2: Convert to fraction form
    291.85/402.82 = 193.52/x
  3. Step 3: Cross multiply
    291.85x = 402.82 × 193.52
  4. Step 4: Simplify right side
    291.85x = 77,954.25
  5. Step 5: Solve for x
    x = 77,954.25/291.85
  6. Step 6: Final answer
    x = 267.11

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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.