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Finding the Fourth Proportional to 79.02, 119.19 and 74.64

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Solution

The fourth proportional to 79.02, 119.19 and 74.64 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.02 : 119.19 = 74.64 : x
  2. Step 2: Convert to fraction form
    79.02/119.19 = 74.64/x
  3. Step 3: Cross multiply
    79.02x = 119.19 × 74.64
  4. Step 4: Simplify right side
    79.02x = 8,896.34
  5. Step 5: Solve for x
    x = 8,896.34/79.02
  6. Step 6: Final answer
    x = 112.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.