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Finding the Fourth Proportional to 76.65, 114.41 and 71.30

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Solution

The fourth proportional to 76.65, 114.41 and 71.30 is: 106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.65 : 114.41 = 71.30 : x
  2. Step 2: Convert to fraction form
    76.65/114.41 = 71.30/x
  3. Step 3: Cross multiply
    76.65x = 114.41 × 71.30
  4. Step 4: Simplify right side
    76.65x = 8,157.43
  5. Step 5: Solve for x
    x = 8,157.43/76.65
  6. Step 6: Final answer
    x = 106.42

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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.