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Finding the Fourth Proportional to 349.81, 524.20 and 219.50

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Solution

The fourth proportional to 349.81, 524.20 and 219.50 is: 328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.81 : 524.20 = 219.50 : x
  2. Step 2: Convert to fraction form
    349.81/524.20 = 219.50/x
  3. Step 3: Cross multiply
    349.81x = 524.20 × 219.50
  4. Step 4: Simplify right side
    349.81x = 115,059.75
  5. Step 5: Solve for x
    x = 115,059.75/349.81
  6. Step 6: Final answer
    x = 328.92

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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.