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Finding the Fourth Proportional to 157.56, 217.43 and 86.66

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Solution

The fourth proportional to 157.56, 217.43 and 86.66 is: 119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 217.43 = 86.66 : x
  2. Step 2: Convert to fraction form
    157.56/217.43 = 86.66/x
  3. Step 3: Cross multiply
    157.56x = 217.43 × 86.66
  4. Step 4: Simplify right side
    157.56x = 18,843.81
  5. Step 5: Solve for x
    x = 18,843.81/157.56
  6. Step 6: Final answer
    x = 119.60

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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.