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Finding the Fourth Proportional to 294.23, 406.15 and 189.47

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Solution

The fourth proportional to 294.23, 406.15 and 189.47 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 406.15 = 189.47 : x
  2. Step 2: Convert to fraction form
    294.23/406.15 = 189.47/x
  3. Step 3: Cross multiply
    294.23x = 406.15 × 189.47
  4. Step 4: Simplify right side
    294.23x = 76,953.78
  5. Step 5: Solve for x
    x = 76,953.78/294.23
  6. Step 6: Final answer
    x = 261.54

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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.