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Finding the Fourth Proportional to 154.22, 211.87 and 138.02

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Solution

The fourth proportional to 154.22, 211.87 and 138.02 is: 189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.22 : 211.87 = 138.02 : x
  2. Step 2: Convert to fraction form
    154.22/211.87 = 138.02/x
  3. Step 3: Cross multiply
    154.22x = 211.87 × 138.02
  4. Step 4: Simplify right side
    154.22x = 29,242.30
  5. Step 5: Solve for x
    x = 29,242.30/154.22
  6. Step 6: Final answer
    x = 189.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.