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Finding the Fourth Proportional to 223.76, 308.75 and 135.21

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Solution

The fourth proportional to 223.76, 308.75 and 135.21 is: 186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.76 : 308.75 = 135.21 : x
  2. Step 2: Convert to fraction form
    223.76/308.75 = 135.21/x
  3. Step 3: Cross multiply
    223.76x = 308.75 × 135.21
  4. Step 4: Simplify right side
    223.76x = 41,746.57
  5. Step 5: Solve for x
    x = 41,746.57/223.76
  6. Step 6: Final answer
    x = 186.57

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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.