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Finding the Fourth Proportional to 76.98, 114.64 and 76.06

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Solution

The fourth proportional to 76.98, 114.64 and 76.06 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 114.64 = 76.06 : x
  2. Step 2: Convert to fraction form
    76.98/114.64 = 76.06/x
  3. Step 3: Cross multiply
    76.98x = 114.64 × 76.06
  4. Step 4: Simplify right side
    76.98x = 8,720.01
  5. Step 5: Solve for x
    x = 8,720.01/76.98
  6. Step 6: Final answer
    x = 113.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.