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Finding the Fourth Proportional to 222.84, 332.33 and 190.55

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Solution

The fourth proportional to 222.84, 332.33 and 190.55 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 332.33 = 190.55 : x
  2. Step 2: Convert to fraction form
    222.84/332.33 = 190.55/x
  3. Step 3: Cross multiply
    222.84x = 332.33 × 190.55
  4. Step 4: Simplify right side
    222.84x = 63,324.30
  5. Step 5: Solve for x
    x = 63,324.30/222.84
  6. Step 6: Final answer
    x = 284.17

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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.