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Finding the Fourth Proportional to 137.28, 207.01 and 135.45

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Solution

The fourth proportional to 137.28, 207.01 and 135.45 is: 204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 207.01 = 135.45 : x
  2. Step 2: Convert to fraction form
    137.28/207.01 = 135.45/x
  3. Step 3: Cross multiply
    137.28x = 207.01 × 135.45
  4. Step 4: Simplify right side
    137.28x = 28,039.50
  5. Step 5: Solve for x
    x = 28,039.50/137.28
  6. Step 6: Final answer
    x = 204.25

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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.