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Finding the Fourth Proportional to 264.12, 394.24 and 230.12

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Solution

The fourth proportional to 264.12, 394.24 and 230.12 is: 343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 394.24 = 230.12 : x
  2. Step 2: Convert to fraction form
    264.12/394.24 = 230.12/x
  3. Step 3: Cross multiply
    264.12x = 394.24 × 230.12
  4. Step 4: Simplify right side
    264.12x = 90,722.51
  5. Step 5: Solve for x
    x = 90,722.51/264.12
  6. Step 6: Final answer
    x = 343.49

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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.