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Finding the Fourth Proportional to 291.87, 402.64 and 193.66

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Solution

The fourth proportional to 291.87, 402.64 and 193.66 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.87 : 402.64 = 193.66 : x
  2. Step 2: Convert to fraction form
    291.87/402.64 = 193.66/x
  3. Step 3: Cross multiply
    291.87x = 402.64 × 193.66
  4. Step 4: Simplify right side
    291.87x = 77,973.77
  5. Step 5: Solve for x
    x = 77,973.77/291.87
  6. Step 6: Final answer
    x = 267.15

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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.