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Finding the Fourth Proportional to 159.97, 238.63 and 154.64

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Solution

The fourth proportional to 159.97, 238.63 and 154.64 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.97 : 238.63 = 154.64 : x
  2. Step 2: Convert to fraction form
    159.97/238.63 = 154.64/x
  3. Step 3: Cross multiply
    159.97x = 238.63 × 154.64
  4. Step 4: Simplify right side
    159.97x = 36,901.74
  5. Step 5: Solve for x
    x = 36,901.74/159.97
  6. Step 6: Final answer
    x = 230.68

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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.