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Finding the Fourth Proportional to 76.88, 114.35 and 74.84

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Solution

The fourth proportional to 76.88, 114.35 and 74.84 is: 111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 114.35 = 74.84 : x
  2. Step 2: Convert to fraction form
    76.88/114.35 = 74.84/x
  3. Step 3: Cross multiply
    76.88x = 114.35 × 74.84
  4. Step 4: Simplify right side
    76.88x = 8,557.95
  5. Step 5: Solve for x
    x = 8,557.95/76.88
  6. Step 6: Final answer
    x = 111.32

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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.