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Finding the Fourth Proportional to 222.64, 305.60 and 203.20

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Solution

The fourth proportional to 222.64, 305.60 and 203.20 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 305.60 = 203.20 : x
  2. Step 2: Convert to fraction form
    222.64/305.60 = 203.20/x
  3. Step 3: Cross multiply
    222.64x = 305.60 × 203.20
  4. Step 4: Simplify right side
    222.64x = 62,097.92
  5. Step 5: Solve for x
    x = 62,097.92/222.64
  6. Step 6: Final answer
    x = 278.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.