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Finding the Fourth Proportional to 138.12, 206.95 and 94.72

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Solution

The fourth proportional to 138.12, 206.95 and 94.72 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 206.95 = 94.72 : x
  2. Step 2: Convert to fraction form
    138.12/206.95 = 94.72/x
  3. Step 3: Cross multiply
    138.12x = 206.95 × 94.72
  4. Step 4: Simplify right side
    138.12x = 19,602.30
  5. Step 5: Solve for x
    x = 19,602.30/138.12
  6. Step 6: Final answer
    x = 141.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.