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Finding the Fourth Proportional to 154.68, 233.31 and 138.84

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Solution

The fourth proportional to 154.68, 233.31 and 138.84 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 233.31 = 138.84 : x
  2. Step 2: Convert to fraction form
    154.68/233.31 = 138.84/x
  3. Step 3: Cross multiply
    154.68x = 233.31 × 138.84
  4. Step 4: Simplify right side
    154.68x = 32,392.76
  5. Step 5: Solve for x
    x = 32,392.76/154.68
  6. Step 6: Final answer
    x = 209.42

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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.