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Finding the Fourth Proportional to 309.51, 466.09 and 269.41

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Solution

The fourth proportional to 309.51, 466.09 and 269.41 is: 405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 466.09 = 269.41 : x
  2. Step 2: Convert to fraction form
    309.51/466.09 = 269.41/x
  3. Step 3: Cross multiply
    309.51x = 466.09 × 269.41
  4. Step 4: Simplify right side
    309.51x = 125,569.31
  5. Step 5: Solve for x
    x = 125,569.31/309.51
  6. Step 6: Final answer
    x = 405.71

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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.