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Finding the Fourth Proportional to 153.78, 229.38 and 144.21

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Solution

The fourth proportional to 153.78, 229.38 and 144.21 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.78 : 229.38 = 144.21 : x
  2. Step 2: Convert to fraction form
    153.78/229.38 = 144.21/x
  3. Step 3: Cross multiply
    153.78x = 229.38 × 144.21
  4. Step 4: Simplify right side
    153.78x = 33,078.89
  5. Step 5: Solve for x
    x = 33,078.89/153.78
  6. Step 6: Final answer
    x = 215.11

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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.