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Finding the Fourth Proportional to 219.08, 328.58 and 82.14

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Solution

The fourth proportional to 219.08, 328.58 and 82.14 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.08 : 328.58 = 82.14 : x
  2. Step 2: Convert to fraction form
    219.08/328.58 = 82.14/x
  3. Step 3: Cross multiply
    219.08x = 328.58 × 82.14
  4. Step 4: Simplify right side
    219.08x = 26,989.56
  5. Step 5: Solve for x
    x = 26,989.56/219.08
  6. Step 6: Final answer
    x = 123.20

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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.