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Finding the Fourth Proportional to 291.46, 402.25 and 193.43

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Solution

The fourth proportional to 291.46, 402.25 and 193.43 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.46 : 402.25 = 193.43 : x
  2. Step 2: Convert to fraction form
    291.46/402.25 = 193.43/x
  3. Step 3: Cross multiply
    291.46x = 402.25 × 193.43
  4. Step 4: Simplify right side
    291.46x = 77,807.22
  5. Step 5: Solve for x
    x = 77,807.22/291.46
  6. Step 6: Final answer
    x = 266.96

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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.