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Finding the Fourth Proportional to 162.66, 224.50 and 121.42

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Solution

The fourth proportional to 162.66, 224.50 and 121.42 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 224.50 = 121.42 : x
  2. Step 2: Convert to fraction form
    162.66/224.50 = 121.42/x
  3. Step 3: Cross multiply
    162.66x = 224.50 × 121.42
  4. Step 4: Simplify right side
    162.66x = 27,258.79
  5. Step 5: Solve for x
    x = 27,258.79/162.66
  6. Step 6: Final answer
    x = 167.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.