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Finding the Fourth Proportional to 137.36, 206.04 and 79.40

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Solution

The fourth proportional to 137.36, 206.04 and 79.40 is: 119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 206.04 = 79.40 : x
  2. Step 2: Convert to fraction form
    137.36/206.04 = 79.40/x
  3. Step 3: Cross multiply
    137.36x = 206.04 × 79.40
  4. Step 4: Simplify right side
    137.36x = 16,359.58
  5. Step 5: Solve for x
    x = 16,359.58/137.36
  6. Step 6: Final answer
    x = 119.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.