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Finding the Fourth Proportional to 154.08, 230.04 and 127.08

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Solution

The fourth proportional to 154.08, 230.04 and 127.08 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 230.04 = 127.08 : x
  2. Step 2: Convert to fraction form
    154.08/230.04 = 127.08/x
  3. Step 3: Cross multiply
    154.08x = 230.04 × 127.08
  4. Step 4: Simplify right side
    154.08x = 29,233.48
  5. Step 5: Solve for x
    x = 29,233.48/154.08
  6. Step 6: Final answer
    x = 189.73

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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.