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Finding the Fourth Proportional to 154.94, 231.20 and 138.50

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Solution

The fourth proportional to 154.94, 231.20 and 138.50 is: 206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.94 : 231.20 = 138.50 : x
  2. Step 2: Convert to fraction form
    154.94/231.20 = 138.50/x
  3. Step 3: Cross multiply
    154.94x = 231.20 × 138.50
  4. Step 4: Simplify right side
    154.94x = 32,021.86
  5. Step 5: Solve for x
    x = 32,021.86/154.94
  6. Step 6: Final answer
    x = 206.68

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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.