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Finding the Fourth Proportional to 154.28, 230.28 and 136.06

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Solution

The fourth proportional to 154.28, 230.28 and 136.06 is: 203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.28 : 230.28 = 136.06 : x
  2. Step 2: Convert to fraction form
    154.28/230.28 = 136.06/x
  3. Step 3: Cross multiply
    154.28x = 230.28 × 136.06
  4. Step 4: Simplify right side
    154.28x = 31,331.90
  5. Step 5: Solve for x
    x = 31,331.90/154.28
  6. Step 6: Final answer
    x = 203.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.