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Finding the Fourth Proportional to 159.91, 238.56 and 154.44

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Solution

The fourth proportional to 159.91, 238.56 and 154.44 is: 230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.91 : 238.56 = 154.44 : x
  2. Step 2: Convert to fraction form
    159.91/238.56 = 154.44/x
  3. Step 3: Cross multiply
    159.91x = 238.56 × 154.44
  4. Step 4: Simplify right side
    159.91x = 36,843.21
  5. Step 5: Solve for x
    x = 36,843.21/159.91
  6. Step 6: Final answer
    x = 230.40

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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.