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Finding the Fourth Proportional to 162.16, 243.30 and 121.66

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Solution

The fourth proportional to 162.16, 243.30 and 121.66 is: 182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.16 : 243.30 = 121.66 : x
  2. Step 2: Convert to fraction form
    162.16/243.30 = 121.66/x
  3. Step 3: Cross multiply
    162.16x = 243.30 × 121.66
  4. Step 4: Simplify right side
    162.16x = 29,599.88
  5. Step 5: Solve for x
    x = 29,599.88/162.16
  6. Step 6: Final answer
    x = 182.54

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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.