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Finding the Fourth Proportional to 76.80, 105.84 and 58.35

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Solution

The fourth proportional to 76.80, 105.84 and 58.35 is: 80.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 105.84 = 58.35 : x
  2. Step 2: Convert to fraction form
    76.80/105.84 = 58.35/x
  3. Step 3: Cross multiply
    76.80x = 105.84 × 58.35
  4. Step 4: Simplify right side
    76.80x = 6,175.76
  5. Step 5: Solve for x
    x = 6,175.76/76.80
  6. Step 6: Final answer
    x = 80.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.