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Finding the Fourth Proportional to 248.21, 342.46 and 149.90

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Solution

The fourth proportional to 248.21, 342.46 and 149.90 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.21 : 342.46 = 149.90 : x
  2. Step 2: Convert to fraction form
    248.21/342.46 = 149.90/x
  3. Step 3: Cross multiply
    248.21x = 342.46 × 149.90
  4. Step 4: Simplify right side
    248.21x = 51,333.04
  5. Step 5: Solve for x
    x = 51,333.04/248.21
  6. Step 6: Final answer
    x = 206.81

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Why These Related Problems?

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