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Finding the Fourth Proportional to 76.51, 114.78 and 28.42

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Solution

The fourth proportional to 76.51, 114.78 and 28.42 is: 42.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 114.78 = 28.42 : x
  2. Step 2: Convert to fraction form
    76.51/114.78 = 28.42/x
  3. Step 3: Cross multiply
    76.51x = 114.78 × 28.42
  4. Step 4: Simplify right side
    76.51x = 3,261.47
  5. Step 5: Solve for x
    x = 3,261.47/76.51
  6. Step 6: Final answer
    x = 42.63

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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.