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Finding the Fourth Proportional to 222.79, 332.55 and 206.50

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Solution

The fourth proportional to 222.79, 332.55 and 206.50 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.79 : 332.55 = 206.50 : x
  2. Step 2: Convert to fraction form
    222.79/332.55 = 206.50/x
  3. Step 3: Cross multiply
    222.79x = 332.55 × 206.50
  4. Step 4: Simplify right side
    222.79x = 68,671.58
  5. Step 5: Solve for x
    x = 68,671.58/222.79
  6. Step 6: Final answer
    x = 308.23

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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.