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Finding the Fourth Proportional to 139.00, 208.46 and 57.84

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Solution

The fourth proportional to 139.00, 208.46 and 57.84 is: 86.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.00 : 208.46 = 57.84 : x
  2. Step 2: Convert to fraction form
    139.00/208.46 = 57.84/x
  3. Step 3: Cross multiply
    139.00x = 208.46 × 57.84
  4. Step 4: Simplify right side
    139.00x = 12,057.47
  5. Step 5: Solve for x
    x = 12,057.47/139.00
  6. Step 6: Final answer
    x = 86.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.