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Finding the Fourth Proportional to 219.16, 328.64 and 82.12

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Solution

The fourth proportional to 219.16, 328.64 and 82.12 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.16 : 328.64 = 82.12 : x
  2. Step 2: Convert to fraction form
    219.16/328.64 = 82.12/x
  3. Step 3: Cross multiply
    219.16x = 328.64 × 82.12
  4. Step 4: Simplify right side
    219.16x = 26,987.92
  5. Step 5: Solve for x
    x = 26,987.92/219.16
  6. Step 6: Final answer
    x = 123.14

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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.