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Finding the Fourth Proportional to 353.90, 490.49 and 348.64

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Solution

The fourth proportional to 353.90, 490.49 and 348.64 is: 483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 490.49 = 348.64 : x
  2. Step 2: Convert to fraction form
    353.90/490.49 = 348.64/x
  3. Step 3: Cross multiply
    353.90x = 490.49 × 348.64
  4. Step 4: Simplify right side
    353.90x = 171,002.77
  5. Step 5: Solve for x
    x = 171,002.77/353.90
  6. Step 6: Final answer
    x = 483.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.