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Finding the Fourth Proportional to 309, 465.33 and 268.91

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Solution

The fourth proportional to 309, 465.33 and 268.91 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 465.33 = 268.91 : x
  2. Step 2: Convert to fraction form
    309/465.33 = 268.91/x
  3. Step 3: Cross multiply
    309x = 465.33 × 268.91
  4. Step 4: Simplify right side
    309x = 125,131.89
  5. Step 5: Solve for x
    x = 125,131.89/309
  6. Step 6: Final answer
    x = 404.96

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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.