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Finding the Fourth Proportional to 219.41, 327.66 and 176.14

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Solution

The fourth proportional to 219.41, 327.66 and 176.14 is: 263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 327.66 = 176.14 : x
  2. Step 2: Convert to fraction form
    219.41/327.66 = 176.14/x
  3. Step 3: Cross multiply
    219.41x = 327.66 × 176.14
  4. Step 4: Simplify right side
    219.41x = 57,714.03
  5. Step 5: Solve for x
    x = 57,714.03/219.41
  6. Step 6: Final answer
    x = 263.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.