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Finding the Fourth Proportional to 221.39, 304.81 and 188.12

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Solution

The fourth proportional to 221.39, 304.81 and 188.12 is: 259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.39 : 304.81 = 188.12 : x
  2. Step 2: Convert to fraction form
    221.39/304.81 = 188.12/x
  3. Step 3: Cross multiply
    221.39x = 304.81 × 188.12
  4. Step 4: Simplify right side
    221.39x = 57,339.33
  5. Step 5: Solve for x
    x = 57,339.33/221.39
  6. Step 6: Final answer
    x = 259.00

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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.