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Finding the Fourth Proportional to 139.98, 208.84 and 118.47

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Solution

The fourth proportional to 139.98, 208.84 and 118.47 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.98 : 208.84 = 118.47 : x
  2. Step 2: Convert to fraction form
    139.98/208.84 = 118.47/x
  3. Step 3: Cross multiply
    139.98x = 208.84 × 118.47
  4. Step 4: Simplify right side
    139.98x = 24,740.98
  5. Step 5: Solve for x
    x = 24,740.98/139.98
  6. Step 6: Final answer
    x = 176.75

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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.