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Finding the Fourth Proportional to 154.10, 230.03 and 142.82

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Solution

The fourth proportional to 154.10, 230.03 and 142.82 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 230.03 = 142.82 : x
  2. Step 2: Convert to fraction form
    154.10/230.03 = 142.82/x
  3. Step 3: Cross multiply
    154.10x = 230.03 × 142.82
  4. Step 4: Simplify right side
    154.10x = 32,852.88
  5. Step 5: Solve for x
    x = 32,852.88/154.10
  6. Step 6: Final answer
    x = 213.19

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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.