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Finding the Fourth Proportional to 249.21, 343.84 and 150.90

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Solution

The fourth proportional to 249.21, 343.84 and 150.90 is: 208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.21 : 343.84 = 150.90 : x
  2. Step 2: Convert to fraction form
    249.21/343.84 = 150.90/x
  3. Step 3: Cross multiply
    249.21x = 343.84 × 150.90
  4. Step 4: Simplify right side
    249.21x = 51,885.46
  5. Step 5: Solve for x
    x = 51,885.46/249.21
  6. Step 6: Final answer
    x = 208.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.