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Finding the Fourth Proportional to 153.81, 229.61 and 142.55

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Solution

The fourth proportional to 153.81, 229.61 and 142.55 is: 212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 229.61 = 142.55 : x
  2. Step 2: Convert to fraction form
    153.81/229.61 = 142.55/x
  3. Step 3: Cross multiply
    153.81x = 229.61 × 142.55
  4. Step 4: Simplify right side
    153.81x = 32,729.04
  5. Step 5: Solve for x
    x = 32,729.04/153.81
  6. Step 6: Final answer
    x = 212.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.