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Finding the Fourth Proportional to 114.22, 157.57 and 76.87

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Solution

The fourth proportional to 114.22, 157.57 and 76.87 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 157.57 = 76.87 : x
  2. Step 2: Convert to fraction form
    114.22/157.57 = 76.87/x
  3. Step 3: Cross multiply
    114.22x = 157.57 × 76.87
  4. Step 4: Simplify right side
    114.22x = 12,112.41
  5. Step 5: Solve for x
    x = 12,112.41/114.22
  6. Step 6: Final answer
    x = 106.04

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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.