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Finding the Fourth Proportional to 139.56, 207.36 and 135.24

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Solution

The fourth proportional to 139.56, 207.36 and 135.24 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.56 : 207.36 = 135.24 : x
  2. Step 2: Convert to fraction form
    139.56/207.36 = 135.24/x
  3. Step 3: Cross multiply
    139.56x = 207.36 × 135.24
  4. Step 4: Simplify right side
    139.56x = 28,043.37
  5. Step 5: Solve for x
    x = 28,043.37/139.56
  6. Step 6: Final answer
    x = 200.94

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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.