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Finding the Fourth Proportional to 264.15, 394.32 and 231.75

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Solution

The fourth proportional to 264.15, 394.32 and 231.75 is: 345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.15 : 394.32 = 231.75 : x
  2. Step 2: Convert to fraction form
    264.15/394.32 = 231.75/x
  3. Step 3: Cross multiply
    264.15x = 394.32 × 231.75
  4. Step 4: Simplify right side
    264.15x = 91,382.79
  5. Step 5: Solve for x
    x = 91,382.79/264.15
  6. Step 6: Final answer
    x = 345.95

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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.