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Finding the Fourth Proportional to 154.78, 233.34 and 144.34

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Solution

The fourth proportional to 154.78, 233.34 and 144.34 is: 217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 233.34 = 144.34 : x
  2. Step 2: Convert to fraction form
    154.78/233.34 = 144.34/x
  3. Step 3: Cross multiply
    154.78x = 233.34 × 144.34
  4. Step 4: Simplify right side
    154.78x = 33,680.30
  5. Step 5: Solve for x
    x = 33,680.30/154.78
  6. Step 6: Final answer
    x = 217.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.