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Finding the Fourth Proportional to 162.82, 242.91 and 138.62

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Solution

The fourth proportional to 162.82, 242.91 and 138.62 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.82 : 242.91 = 138.62 : x
  2. Step 2: Convert to fraction form
    162.82/242.91 = 138.62/x
  3. Step 3: Cross multiply
    162.82x = 242.91 × 138.62
  4. Step 4: Simplify right side
    162.82x = 33,672.79
  5. Step 5: Solve for x
    x = 33,672.79/162.82
  6. Step 6: Final answer
    x = 206.81

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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.