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Finding the Fourth Proportional to 222.32, 331.58 and 220.08

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Solution

The fourth proportional to 222.32, 331.58 and 220.08 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.32 : 331.58 = 220.08 : x
  2. Step 2: Convert to fraction form
    222.32/331.58 = 220.08/x
  3. Step 3: Cross multiply
    222.32x = 331.58 × 220.08
  4. Step 4: Simplify right side
    222.32x = 72,974.13
  5. Step 5: Solve for x
    x = 72,974.13/222.32
  6. Step 6: Final answer
    x = 328.24

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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.