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Finding the Fourth Proportional to 334.46, 501.80 and 219.14

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Solution

The fourth proportional to 334.46, 501.80 and 219.14 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.46 : 501.80 = 219.14 : x
  2. Step 2: Convert to fraction form
    334.46/501.80 = 219.14/x
  3. Step 3: Cross multiply
    334.46x = 501.80 × 219.14
  4. Step 4: Simplify right side
    334.46x = 109,964.45
  5. Step 5: Solve for x
    x = 109,964.45/334.46
  6. Step 6: Final answer
    x = 328.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.