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Finding the Fourth Proportional to 154.42, 230.81 and 134.08

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Solution

The fourth proportional to 154.42, 230.81 and 134.08 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.42 : 230.81 = 134.08 : x
  2. Step 2: Convert to fraction form
    154.42/230.81 = 134.08/x
  3. Step 3: Cross multiply
    154.42x = 230.81 × 134.08
  4. Step 4: Simplify right side
    154.42x = 30,945.76
  5. Step 5: Solve for x
    x = 30,945.76/154.42
  6. Step 6: Final answer
    x = 200.40

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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.