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Finding the Fourth Proportional to 223.12, 308.28 and 188.08

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Solution

The fourth proportional to 223.12, 308.28 and 188.08 is: 259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.12 : 308.28 = 188.08 : x
  2. Step 2: Convert to fraction form
    223.12/308.28 = 188.08/x
  3. Step 3: Cross multiply
    223.12x = 308.28 × 188.08
  4. Step 4: Simplify right side
    223.12x = 57,981.30
  5. Step 5: Solve for x
    x = 57,981.30/223.12
  6. Step 6: Final answer
    x = 259.87

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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.