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Finding the Fourth Proportional to 356.20, 490.02 and 337.96

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Solution

The fourth proportional to 356.20, 490.02 and 337.96 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.20 : 490.02 = 337.96 : x
  2. Step 2: Convert to fraction form
    356.20/490.02 = 337.96/x
  3. Step 3: Cross multiply
    356.20x = 490.02 × 337.96
  4. Step 4: Simplify right side
    356.20x = 165,607.16
  5. Step 5: Solve for x
    x = 165,607.16/356.20
  6. Step 6: Final answer
    x = 464.93

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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.