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Finding the Fourth Proportional to 113.16, 169.74 and 76.64

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Solution

The fourth proportional to 113.16, 169.74 and 76.64 is: 114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 169.74 = 76.64 : x
  2. Step 2: Convert to fraction form
    113.16/169.74 = 76.64/x
  3. Step 3: Cross multiply
    113.16x = 169.74 × 76.64
  4. Step 4: Simplify right side
    113.16x = 13,008.87
  5. Step 5: Solve for x
    x = 13,008.87/113.16
  6. Step 6: Final answer
    x = 114.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.