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Finding the Fourth Proportional to 223.63, 306.64 and 202.84

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Solution

The fourth proportional to 223.63, 306.64 and 202.84 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.63 : 306.64 = 202.84 : x
  2. Step 2: Convert to fraction form
    223.63/306.64 = 202.84/x
  3. Step 3: Cross multiply
    223.63x = 306.64 × 202.84
  4. Step 4: Simplify right side
    223.63x = 62,198.86
  5. Step 5: Solve for x
    x = 62,198.86/223.63
  6. Step 6: Final answer
    x = 278.13

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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.