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Finding the Fourth Proportional to 79.02, 117.88 and 76.84

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Solution

The fourth proportional to 79.02, 117.88 and 76.84 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.02 : 117.88 = 76.84 : x
  2. Step 2: Convert to fraction form
    79.02/117.88 = 76.84/x
  3. Step 3: Cross multiply
    79.02x = 117.88 × 76.84
  4. Step 4: Simplify right side
    79.02x = 9,057.41
  5. Step 5: Solve for x
    x = 9,057.41/79.02
  6. Step 6: Final answer
    x = 114.62

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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.