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Finding the Fourth Proportional to 139.83, 208.28 and 139.57

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Solution

The fourth proportional to 139.83, 208.28 and 139.57 is: 207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.83 : 208.28 = 139.57 : x
  2. Step 2: Convert to fraction form
    139.83/208.28 = 139.57/x
  3. Step 3: Cross multiply
    139.83x = 208.28 × 139.57
  4. Step 4: Simplify right side
    139.83x = 29,069.64
  5. Step 5: Solve for x
    x = 29,069.64/139.83
  6. Step 6: Final answer
    x = 207.89

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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.