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Finding the Fourth Proportional to 223.13, 307.91 and 135.81

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Solution

The fourth proportional to 223.13, 307.91 and 135.81 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.13 : 307.91 = 135.81 : x
  2. Step 2: Convert to fraction form
    223.13/307.91 = 135.81/x
  3. Step 3: Cross multiply
    223.13x = 307.91 × 135.81
  4. Step 4: Simplify right side
    223.13x = 41,818.75
  5. Step 5: Solve for x
    x = 41,818.75/223.13
  6. Step 6: Final answer
    x = 187.42

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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.