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Finding the Fourth Proportional to 356.00, 490.46 and 301.05

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Solution

The fourth proportional to 356.00, 490.46 and 301.05 is: 414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.00 : 490.46 = 301.05 : x
  2. Step 2: Convert to fraction form
    356.00/490.46 = 301.05/x
  3. Step 3: Cross multiply
    356.00x = 490.46 × 301.05
  4. Step 4: Simplify right side
    356.00x = 147,651.48
  5. Step 5: Solve for x
    x = 147,651.48/356.00
  6. Step 6: Final answer
    x = 414.76

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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.