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Finding the Fourth Proportional to 220.32, 328.52 and 212.42

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Solution

The fourth proportional to 220.32, 328.52 and 212.42 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 328.52 = 212.42 : x
  2. Step 2: Convert to fraction form
    220.32/328.52 = 212.42/x
  3. Step 3: Cross multiply
    220.32x = 328.52 × 212.42
  4. Step 4: Simplify right side
    220.32x = 69,784.22
  5. Step 5: Solve for x
    x = 69,784.22/220.32
  6. Step 6: Final answer
    x = 316.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.