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Finding the Fourth Proportional to 248.10, 342.12 and 149.84

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Solution

The fourth proportional to 248.10, 342.12 and 149.84 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.10 : 342.12 = 149.84 : x
  2. Step 2: Convert to fraction form
    248.10/342.12 = 149.84/x
  3. Step 3: Cross multiply
    248.10x = 342.12 × 149.84
  4. Step 4: Simplify right side
    248.10x = 51,261.55
  5. Step 5: Solve for x
    x = 51,261.55/248.10
  6. Step 6: Final answer
    x = 206.62

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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.