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Finding the Fourth Proportional to 223.95, 308.64 and 206.49

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Solution

The fourth proportional to 223.95, 308.64 and 206.49 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.95 : 308.64 = 206.49 : x
  2. Step 2: Convert to fraction form
    223.95/308.64 = 206.49/x
  3. Step 3: Cross multiply
    223.95x = 308.64 × 206.49
  4. Step 4: Simplify right side
    223.95x = 63,731.07
  5. Step 5: Solve for x
    x = 63,731.07/223.95
  6. Step 6: Final answer
    x = 284.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.