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Finding the Fourth Proportional to 248.49, 342.81 and 150.21

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Solution

The fourth proportional to 248.49, 342.81 and 150.21 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.49 : 342.81 = 150.21 : x
  2. Step 2: Convert to fraction form
    248.49/342.81 = 150.21/x
  3. Step 3: Cross multiply
    248.49x = 342.81 × 150.21
  4. Step 4: Simplify right side
    248.49x = 51,493.49
  5. Step 5: Solve for x
    x = 51,493.49/248.49
  6. Step 6: Final answer
    x = 207.23

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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.