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Finding the Fourth Proportional to 309.51, 466.08 and 269.42

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Solution

The fourth proportional to 309.51, 466.08 and 269.42 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 466.08 = 269.42 : x
  2. Step 2: Convert to fraction form
    309.51/466.08 = 269.42/x
  3. Step 3: Cross multiply
    309.51x = 466.08 × 269.42
  4. Step 4: Simplify right side
    309.51x = 125,568.94
  5. Step 5: Solve for x
    x = 125,568.94/309.51
  6. Step 6: Final answer
    x = 405.70

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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.