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Finding the Fourth Proportional to 309.97, 466.80 and 269.88

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Solution

The fourth proportional to 309.97, 466.80 and 269.88 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 466.80 = 269.88 : x
  2. Step 2: Convert to fraction form
    309.97/466.80 = 269.88/x
  3. Step 3: Cross multiply
    309.97x = 466.80 × 269.88
  4. Step 4: Simplify right side
    309.97x = 125,977.22
  5. Step 5: Solve for x
    x = 125,977.22/309.97
  6. Step 6: Final answer
    x = 406.42

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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.