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Finding the Fourth Proportional to 76.58, 105.68 and 43.84

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Solution

The fourth proportional to 76.58, 105.68 and 43.84 is: 60.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.58 : 105.68 = 43.84 : x
  2. Step 2: Convert to fraction form
    76.58/105.68 = 43.84/x
  3. Step 3: Cross multiply
    76.58x = 105.68 × 43.84
  4. Step 4: Simplify right side
    76.58x = 4,632.86
  5. Step 5: Solve for x
    x = 4,632.86/76.58
  6. Step 6: Final answer
    x = 60.50

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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.