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Finding the Fourth Proportional to 223.58, 308.58 and 135.11

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Solution

The fourth proportional to 223.58, 308.58 and 135.11 is: 186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 308.58 = 135.11 : x
  2. Step 2: Convert to fraction form
    223.58/308.58 = 135.11/x
  3. Step 3: Cross multiply
    223.58x = 308.58 × 135.11
  4. Step 4: Simplify right side
    223.58x = 41,690.36
  5. Step 5: Solve for x
    x = 41,690.36/223.58
  6. Step 6: Final answer
    x = 186.47

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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.