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Finding the Fourth Proportional to 355.68, 490.60 and 262.66

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Solution

The fourth proportional to 355.68, 490.60 and 262.66 is: 362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 490.60 = 262.66 : x
  2. Step 2: Convert to fraction form
    355.68/490.60 = 262.66/x
  3. Step 3: Cross multiply
    355.68x = 490.60 × 262.66
  4. Step 4: Simplify right side
    355.68x = 128,861.00
  5. Step 5: Solve for x
    x = 128,861.00/355.68
  6. Step 6: Final answer
    x = 362.29

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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.