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Finding the Fourth Proportional to 76.66, 105.84 and 62.88

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Solution

The fourth proportional to 76.66, 105.84 and 62.88 is: 86.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.66 : 105.84 = 62.88 : x
  2. Step 2: Convert to fraction form
    76.66/105.84 = 62.88/x
  3. Step 3: Cross multiply
    76.66x = 105.84 × 62.88
  4. Step 4: Simplify right side
    76.66x = 6,655.22
  5. Step 5: Solve for x
    x = 6,655.22/76.66
  6. Step 6: Final answer
    x = 86.81

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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.