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Finding the Fourth Proportional to 157.77, 217.94 and 116.46

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Solution

The fourth proportional to 157.77, 217.94 and 116.46 is: 160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 217.94 = 116.46 : x
  2. Step 2: Convert to fraction form
    157.77/217.94 = 116.46/x
  3. Step 3: Cross multiply
    157.77x = 217.94 × 116.46
  4. Step 4: Simplify right side
    157.77x = 25,380.71
  5. Step 5: Solve for x
    x = 25,380.71/157.77
  6. Step 6: Final answer
    x = 160.87

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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.