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Finding the Fourth Proportional to 309.36, 462.38 and 268.68

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Solution

The fourth proportional to 309.36, 462.38 and 268.68 is: 401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 462.38 = 268.68 : x
  2. Step 2: Convert to fraction form
    309.36/462.38 = 268.68/x
  3. Step 3: Cross multiply
    309.36x = 462.38 × 268.68
  4. Step 4: Simplify right side
    309.36x = 124,232.26
  5. Step 5: Solve for x
    x = 124,232.26/309.36
  6. Step 6: Final answer
    x = 401.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.