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Finding the Fourth Proportional to 304.92, 421.56 and 291.96

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Solution

The fourth proportional to 304.92, 421.56 and 291.96 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 421.56 = 291.96 : x
  2. Step 2: Convert to fraction form
    304.92/421.56 = 291.96/x
  3. Step 3: Cross multiply
    304.92x = 421.56 × 291.96
  4. Step 4: Simplify right side
    304.92x = 123,078.66
  5. Step 5: Solve for x
    x = 123,078.66/304.92
  6. Step 6: Final answer
    x = 403.64

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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.