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Finding the Fourth Proportional to 223.65, 308.48 and 136.35

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Solution

The fourth proportional to 223.65, 308.48 and 136.35 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.65 : 308.48 = 136.35 : x
  2. Step 2: Convert to fraction form
    223.65/308.48 = 136.35/x
  3. Step 3: Cross multiply
    223.65x = 308.48 × 136.35
  4. Step 4: Simplify right side
    223.65x = 42,060.57
  5. Step 5: Solve for x
    x = 42,060.57/223.65
  6. Step 6: Final answer
    x = 188.06

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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.