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Finding the Fourth Proportional to 248.15, 341.97 and 178.08

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Solution

The fourth proportional to 248.15, 341.97 and 178.08 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.15 : 341.97 = 178.08 : x
  2. Step 2: Convert to fraction form
    248.15/341.97 = 178.08/x
  3. Step 3: Cross multiply
    248.15x = 341.97 × 178.08
  4. Step 4: Simplify right side
    248.15x = 60,898.02
  5. Step 5: Solve for x
    x = 60,898.02/248.15
  6. Step 6: Final answer
    x = 245.41

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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.