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Finding the Fourth Proportional to 356.85, 490.73 and 297.81

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Solution

The fourth proportional to 356.85, 490.73 and 297.81 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.85 : 490.73 = 297.81 : x
  2. Step 2: Convert to fraction form
    356.85/490.73 = 297.81/x
  3. Step 3: Cross multiply
    356.85x = 490.73 × 297.81
  4. Step 4: Simplify right side
    356.85x = 146,142.81
  5. Step 5: Solve for x
    x = 146,142.81/356.85
  6. Step 6: Final answer
    x = 409.54

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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.