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Finding the Fourth Proportional to 157.97, 218.06 and 121.08

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Solution

The fourth proportional to 157.97, 218.06 and 121.08 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 218.06 = 121.08 : x
  2. Step 2: Convert to fraction form
    157.97/218.06 = 121.08/x
  3. Step 3: Cross multiply
    157.97x = 218.06 × 121.08
  4. Step 4: Simplify right side
    157.97x = 26,402.70
  5. Step 5: Solve for x
    x = 26,402.70/157.97
  6. Step 6: Final answer
    x = 167.14

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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.