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Finding the Fourth Proportional to 76.51, 114.78 and 27.77

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Solution

The fourth proportional to 76.51, 114.78 and 27.77 is: 41.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 114.78 = 27.77 : x
  2. Step 2: Convert to fraction form
    76.51/114.78 = 27.77/x
  3. Step 3: Cross multiply
    76.51x = 114.78 × 27.77
  4. Step 4: Simplify right side
    76.51x = 3,186.87
  5. Step 5: Solve for x
    x = 3,186.87/76.51
  6. Step 6: Final answer
    x = 41.65

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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.