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Finding the Fourth Proportional to 154.64, 230.82 and 136.41

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Solution

The fourth proportional to 154.64, 230.82 and 136.41 is: 203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 230.82 = 136.41 : x
  2. Step 2: Convert to fraction form
    154.64/230.82 = 136.41/x
  3. Step 3: Cross multiply
    154.64x = 230.82 × 136.41
  4. Step 4: Simplify right side
    154.64x = 31,486.16
  5. Step 5: Solve for x
    x = 31,486.16/154.64
  6. Step 6: Final answer
    x = 203.62

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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.