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Finding the Fourth Proportional to 309.85, 466.61 and 269.75

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Solution

The fourth proportional to 309.85, 466.61 and 269.75 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 466.61 = 269.75 : x
  2. Step 2: Convert to fraction form
    309.85/466.61 = 269.75/x
  3. Step 3: Cross multiply
    309.85x = 466.61 × 269.75
  4. Step 4: Simplify right side
    309.85x = 125,868.05
  5. Step 5: Solve for x
    x = 125,868.05/309.85
  6. Step 6: Final answer
    x = 406.22

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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.