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Finding the Fourth Proportional to 248.17, 342.50 and 143.28

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Solution

The fourth proportional to 248.17, 342.50 and 143.28 is: 197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.17 : 342.50 = 143.28 : x
  2. Step 2: Convert to fraction form
    248.17/342.50 = 143.28/x
  3. Step 3: Cross multiply
    248.17x = 342.50 × 143.28
  4. Step 4: Simplify right side
    248.17x = 49,073.40
  5. Step 5: Solve for x
    x = 49,073.40/248.17
  6. Step 6: Final answer
    x = 197.74

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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.