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Finding the Fourth Proportional to 154.31, 230.36 and 128.66

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Solution

The fourth proportional to 154.31, 230.36 and 128.66 is: 192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 230.36 = 128.66 : x
  2. Step 2: Convert to fraction form
    154.31/230.36 = 128.66/x
  3. Step 3: Cross multiply
    154.31x = 230.36 × 128.66
  4. Step 4: Simplify right side
    154.31x = 29,636.32
  5. Step 5: Solve for x
    x = 29,636.32/154.31
  6. Step 6: Final answer
    x = 192.06

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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.