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Finding the Fourth Proportional to 154.01, 232.18 and 142.27

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Solution

The fourth proportional to 154.01, 232.18 and 142.27 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.01 : 232.18 = 142.27 : x
  2. Step 2: Convert to fraction form
    154.01/232.18 = 142.27/x
  3. Step 3: Cross multiply
    154.01x = 232.18 × 142.27
  4. Step 4: Simplify right side
    154.01x = 33,032.25
  5. Step 5: Solve for x
    x = 33,032.25/154.01
  6. Step 6: Final answer
    x = 214.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.