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Finding the Fourth Proportional to 355.14, 487.46 and 340.11

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Solution

The fourth proportional to 355.14, 487.46 and 340.11 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 487.46 = 340.11 : x
  2. Step 2: Convert to fraction form
    355.14/487.46 = 340.11/x
  3. Step 3: Cross multiply
    355.14x = 487.46 × 340.11
  4. Step 4: Simplify right side
    355.14x = 165,790.87
  5. Step 5: Solve for x
    x = 165,790.87/355.14
  6. Step 6: Final answer
    x = 466.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.