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Finding the Fourth Proportional to 139.74, 208.74 and 127.62

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Solution

The fourth proportional to 139.74, 208.74 and 127.62 is: 190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 208.74 = 127.62 : x
  2. Step 2: Convert to fraction form
    139.74/208.74 = 127.62/x
  3. Step 3: Cross multiply
    139.74x = 208.74 × 127.62
  4. Step 4: Simplify right side
    139.74x = 26,639.40
  5. Step 5: Solve for x
    x = 26,639.40/139.74
  6. Step 6: Final answer
    x = 190.64

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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.