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Finding the Fourth Proportional to 137.28, 206.16 and 101.08

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Solution

The fourth proportional to 137.28, 206.16 and 101.08 is: 151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 206.16 = 101.08 : x
  2. Step 2: Convert to fraction form
    137.28/206.16 = 101.08/x
  3. Step 3: Cross multiply
    137.28x = 206.16 × 101.08
  4. Step 4: Simplify right side
    137.28x = 20,838.65
  5. Step 5: Solve for x
    x = 20,838.65/137.28
  6. Step 6: Final answer
    x = 151.80

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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.