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Finding the Fourth Proportional to 291.15, 402.03 and 193.34

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Solution

The fourth proportional to 291.15, 402.03 and 193.34 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.15 : 402.03 = 193.34 : x
  2. Step 2: Convert to fraction form
    291.15/402.03 = 193.34/x
  3. Step 3: Cross multiply
    291.15x = 402.03 × 193.34
  4. Step 4: Simplify right side
    291.15x = 77,729.49
  5. Step 5: Solve for x
    x = 77,729.49/291.15
  6. Step 6: Final answer
    x = 266.97

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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.