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Finding the Fourth Proportional to 247, 341.12 and 178.36

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Solution

The fourth proportional to 247, 341.12 and 178.36 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 341.12 = 178.36 : x
  2. Step 2: Convert to fraction form
    247/341.12 = 178.36/x
  3. Step 3: Cross multiply
    247x = 341.12 × 178.36
  4. Step 4: Simplify right side
    247x = 60,842.16
  5. Step 5: Solve for x
    x = 60,842.16/247
  6. Step 6: Final answer
    x = 246.32

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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.