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Finding the Fourth Proportional to 264.09, 394.61 and 190.62

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Solution

The fourth proportional to 264.09, 394.61 and 190.62 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 394.61 = 190.62 : x
  2. Step 2: Convert to fraction form
    264.09/394.61 = 190.62/x
  3. Step 3: Cross multiply
    264.09x = 394.61 × 190.62
  4. Step 4: Simplify right side
    264.09x = 75,217.63
  5. Step 5: Solve for x
    x = 75,217.63/264.09
  6. Step 6: Final answer
    x = 284.82

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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.