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Finding the Fourth Proportional to 219.92, 304.36 and 188.93

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Solution

The fourth proportional to 219.92, 304.36 and 188.93 is: 261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 304.36 = 188.93 : x
  2. Step 2: Convert to fraction form
    219.92/304.36 = 188.93/x
  3. Step 3: Cross multiply
    219.92x = 304.36 × 188.93
  4. Step 4: Simplify right side
    219.92x = 57,503.02
  5. Step 5: Solve for x
    x = 57,503.02/219.92
  6. Step 6: Final answer
    x = 261.48

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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.