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Finding the Fourth Proportional to 355.37, 490.25 and 256.91

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Solution

The fourth proportional to 355.37, 490.25 and 256.91 is: 354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.37 : 490.25 = 256.91 : x
  2. Step 2: Convert to fraction form
    355.37/490.25 = 256.91/x
  3. Step 3: Cross multiply
    355.37x = 490.25 × 256.91
  4. Step 4: Simplify right side
    355.37x = 125,950.13
  5. Step 5: Solve for x
    x = 125,950.13/355.37
  6. Step 6: Final answer
    x = 354.42

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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.