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Finding the Fourth Proportional to 219.03, 328.47 and 137.78

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Solution

The fourth proportional to 219.03, 328.47 and 137.78 is: 206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.03 : 328.47 = 137.78 : x
  2. Step 2: Convert to fraction form
    219.03/328.47 = 137.78/x
  3. Step 3: Cross multiply
    219.03x = 328.47 × 137.78
  4. Step 4: Simplify right side
    219.03x = 45,256.60
  5. Step 5: Solve for x
    x = 45,256.60/219.03
  6. Step 6: Final answer
    x = 206.62

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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.