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Finding the Fourth Proportional to 162.85, 243.80 and 126.67

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Solution

The fourth proportional to 162.85, 243.80 and 126.67 is: 189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.85 : 243.80 = 126.67 : x
  2. Step 2: Convert to fraction form
    162.85/243.80 = 126.67/x
  3. Step 3: Cross multiply
    162.85x = 243.80 × 126.67
  4. Step 4: Simplify right side
    162.85x = 30,881.38
  5. Step 5: Solve for x
    x = 30,881.38/162.85
  6. Step 6: Final answer
    x = 189.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.