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Finding the Fourth Proportional to 153.95, 212.09 and 121.14

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Solution

The fourth proportional to 153.95, 212.09 and 121.14 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.95 : 212.09 = 121.14 : x
  2. Step 2: Convert to fraction form
    153.95/212.09 = 121.14/x
  3. Step 3: Cross multiply
    153.95x = 212.09 × 121.14
  4. Step 4: Simplify right side
    153.95x = 25,691.98
  5. Step 5: Solve for x
    x = 25,691.98/153.95
  6. Step 6: Final answer
    x = 166.89

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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.