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Finding the Fourth Proportional to 139.40, 207.23 and 135.31

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Solution

The fourth proportional to 139.40, 207.23 and 135.31 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.40 : 207.23 = 135.31 : x
  2. Step 2: Convert to fraction form
    139.40/207.23 = 135.31/x
  3. Step 3: Cross multiply
    139.40x = 207.23 × 135.31
  4. Step 4: Simplify right side
    139.40x = 28,040.11
  5. Step 5: Solve for x
    x = 28,040.11/139.40
  6. Step 6: Final answer
    x = 201.14

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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.