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Finding the Fourth Proportional to 219.52, 328.74 and 138.16

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Solution

The fourth proportional to 219.52, 328.74 and 138.16 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.52 : 328.74 = 138.16 : x
  2. Step 2: Convert to fraction form
    219.52/328.74 = 138.16/x
  3. Step 3: Cross multiply
    219.52x = 328.74 × 138.16
  4. Step 4: Simplify right side
    219.52x = 45,418.72
  5. Step 5: Solve for x
    x = 45,418.72/219.52
  6. Step 6: Final answer
    x = 206.90

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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.