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Finding the Fourth Proportional to 248.52, 342.98 and 143.62

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Solution

The fourth proportional to 248.52, 342.98 and 143.62 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.52 : 342.98 = 143.62 : x
  2. Step 2: Convert to fraction form
    248.52/342.98 = 143.62/x
  3. Step 3: Cross multiply
    248.52x = 342.98 × 143.62
  4. Step 4: Simplify right side
    248.52x = 49,258.79
  5. Step 5: Solve for x
    x = 49,258.79/248.52
  6. Step 6: Final answer
    x = 198.21

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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.