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Finding the Fourth Proportional to 219.45, 328.41 and 212.16

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Solution

The fourth proportional to 219.45, 328.41 and 212.16 is: 317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.45 : 328.41 = 212.16 : x
  2. Step 2: Convert to fraction form
    219.45/328.41 = 212.16/x
  3. Step 3: Cross multiply
    219.45x = 328.41 × 212.16
  4. Step 4: Simplify right side
    219.45x = 69,675.47
  5. Step 5: Solve for x
    x = 69,675.47/219.45
  6. Step 6: Final answer
    x = 317.50

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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.