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Finding the Fourth Proportional to 157.97, 218 and 87.08

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Solution

The fourth proportional to 157.97, 218 and 87.08 is: 120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 218 = 87.08 : x
  2. Step 2: Convert to fraction form
    157.97/218 = 87.08/x
  3. Step 3: Cross multiply
    157.97x = 218 × 87.08
  4. Step 4: Simplify right side
    157.97x = 18,983.44
  5. Step 5: Solve for x
    x = 18,983.44/157.97
  6. Step 6: Final answer
    x = 120.17

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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.