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Finding the Fourth Proportional to 223.64, 307.76 and 206.90

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Solution

The fourth proportional to 223.64, 307.76 and 206.90 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.64 : 307.76 = 206.90 : x
  2. Step 2: Convert to fraction form
    223.64/307.76 = 206.90/x
  3. Step 3: Cross multiply
    223.64x = 307.76 × 206.90
  4. Step 4: Simplify right side
    223.64x = 63,672.97
  5. Step 5: Solve for x
    x = 63,672.97/223.64
  6. Step 6: Final answer
    x = 284.72

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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.