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Finding the Fourth Proportional to 153.74, 230.27 and 119.23

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Solution

The fourth proportional to 153.74, 230.27 and 119.23 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 230.27 = 119.23 : x
  2. Step 2: Convert to fraction form
    153.74/230.27 = 119.23/x
  3. Step 3: Cross multiply
    153.74x = 230.27 × 119.23
  4. Step 4: Simplify right side
    153.74x = 27,454.79
  5. Step 5: Solve for x
    x = 27,454.79/153.74
  6. Step 6: Final answer
    x = 178.58

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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.