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Finding the Fourth Proportional to 292.38, 440.30 and 211.79

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Solution

The fourth proportional to 292.38, 440.30 and 211.79 is: 318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.38 : 440.30 = 211.79 : x
  2. Step 2: Convert to fraction form
    292.38/440.30 = 211.79/x
  3. Step 3: Cross multiply
    292.38x = 440.30 × 211.79
  4. Step 4: Simplify right side
    292.38x = 93,249.46
  5. Step 5: Solve for x
    x = 93,249.46/292.38
  6. Step 6: Final answer
    x = 318.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.