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Finding the Fourth Proportional to 153.74, 212.20 and 114.43

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Solution

The fourth proportional to 153.74, 212.20 and 114.43 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 212.20 = 114.43 : x
  2. Step 2: Convert to fraction form
    153.74/212.20 = 114.43/x
  3. Step 3: Cross multiply
    153.74x = 212.20 × 114.43
  4. Step 4: Simplify right side
    153.74x = 24,282.05
  5. Step 5: Solve for x
    x = 24,282.05/153.74
  6. Step 6: Final answer
    x = 157.94

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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.