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Finding the Fourth Proportional to 291.57, 402.04 and 212.75

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Solution

The fourth proportional to 291.57, 402.04 and 212.75 is: 293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.57 : 402.04 = 212.75 : x
  2. Step 2: Convert to fraction form
    291.57/402.04 = 212.75/x
  3. Step 3: Cross multiply
    291.57x = 402.04 × 212.75
  4. Step 4: Simplify right side
    291.57x = 85,534.01
  5. Step 5: Solve for x
    x = 85,534.01/291.57
  6. Step 6: Final answer
    x = 293.36

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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.