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Finding the Fourth Proportional to 222.80, 332.44 and 186.80

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Solution

The fourth proportional to 222.80, 332.44 and 186.80 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.80 : 332.44 = 186.80 : x
  2. Step 2: Convert to fraction form
    222.80/332.44 = 186.80/x
  3. Step 3: Cross multiply
    222.80x = 332.44 × 186.80
  4. Step 4: Simplify right side
    222.80x = 62,099.79
  5. Step 5: Solve for x
    x = 62,099.79/222.80
  6. Step 6: Final answer
    x = 278.72

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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.