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Finding the Fourth Proportional to 355.70, 490.10 and 256.04

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Solution

The fourth proportional to 355.70, 490.10 and 256.04 is: 352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 490.10 = 256.04 : x
  2. Step 2: Convert to fraction form
    355.70/490.10 = 256.04/x
  3. Step 3: Cross multiply
    355.70x = 490.10 × 256.04
  4. Step 4: Simplify right side
    355.70x = 125,485.20
  5. Step 5: Solve for x
    x = 125,485.20/355.70
  6. Step 6: Final answer
    x = 352.78

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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.