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Finding the Fourth Proportional to 331.70, 458.29 and 262.47

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Solution

The fourth proportional to 331.70, 458.29 and 262.47 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.70 : 458.29 = 262.47 : x
  2. Step 2: Convert to fraction form
    331.70/458.29 = 262.47/x
  3. Step 3: Cross multiply
    331.70x = 458.29 × 262.47
  4. Step 4: Simplify right side
    331.70x = 120,289.42
  5. Step 5: Solve for x
    x = 120,289.42/331.70
  6. Step 6: Final answer
    x = 362.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.