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Finding the Fourth Proportional to 212.29, 292.99 and 123.78

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Solution

The fourth proportional to 212.29, 292.99 and 123.78 is: 170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.29 : 292.99 = 123.78 : x
  2. Step 2: Convert to fraction form
    212.29/292.99 = 123.78/x
  3. Step 3: Cross multiply
    212.29x = 292.99 × 123.78
  4. Step 4: Simplify right side
    212.29x = 36,266.20
  5. Step 5: Solve for x
    x = 36,266.20/212.29
  6. Step 6: Final answer
    x = 170.84

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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.