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Finding the Fourth Proportional to 154.36, 230.49 and 136.16

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Solution

The fourth proportional to 154.36, 230.49 and 136.16 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 230.49 = 136.16 : x
  2. Step 2: Convert to fraction form
    154.36/230.49 = 136.16/x
  3. Step 3: Cross multiply
    154.36x = 230.49 × 136.16
  4. Step 4: Simplify right side
    154.36x = 31,383.52
  5. Step 5: Solve for x
    x = 31,383.52/154.36
  6. Step 6: Final answer
    x = 203.31

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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.