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Finding the Fourth Proportional to 212.11, 292.70 and 123.59

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Solution

The fourth proportional to 212.11, 292.70 and 123.59 is: 170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.11 : 292.70 = 123.59 : x
  2. Step 2: Convert to fraction form
    212.11/292.70 = 123.59/x
  3. Step 3: Cross multiply
    212.11x = 292.70 × 123.59
  4. Step 4: Simplify right side
    212.11x = 36,174.33
  5. Step 5: Solve for x
    x = 36,174.33/212.11
  6. Step 6: Final answer
    x = 170.55

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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.