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Finding the Fourth Proportional to 223.57, 308.19 and 188.65

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Solution

The fourth proportional to 223.57, 308.19 and 188.65 is: 260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.57 : 308.19 = 188.65 : x
  2. Step 2: Convert to fraction form
    223.57/308.19 = 188.65/x
  3. Step 3: Cross multiply
    223.57x = 308.19 × 188.65
  4. Step 4: Simplify right side
    223.57x = 58,140.04
  5. Step 5: Solve for x
    x = 58,140.04/223.57
  6. Step 6: Final answer
    x = 260.05

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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.