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Finding the Fourth Proportional to 154.30, 230.36 and 131.24

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Solution

The fourth proportional to 154.30, 230.36 and 131.24 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.30 : 230.36 = 131.24 : x
  2. Step 2: Convert to fraction form
    154.30/230.36 = 131.24/x
  3. Step 3: Cross multiply
    154.30x = 230.36 × 131.24
  4. Step 4: Simplify right side
    154.30x = 30,232.45
  5. Step 5: Solve for x
    x = 30,232.45/154.30
  6. Step 6: Final answer
    x = 195.93

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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.