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Finding the Fourth Proportional to 264.33, 394.29 and 231.53

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Solution

The fourth proportional to 264.33, 394.29 and 231.53 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.33 : 394.29 = 231.53 : x
  2. Step 2: Convert to fraction form
    264.33/394.29 = 231.53/x
  3. Step 3: Cross multiply
    264.33x = 394.29 × 231.53
  4. Step 4: Simplify right side
    264.33x = 91,287.99
  5. Step 5: Solve for x
    x = 91,287.99/264.33
  6. Step 6: Final answer
    x = 345.36

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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.