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Finding the Fourth Proportional to 354.77, 490.02 and 256.37

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Solution

The fourth proportional to 354.77, 490.02 and 256.37 is: 354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.77 : 490.02 = 256.37 : x
  2. Step 2: Convert to fraction form
    354.77/490.02 = 256.37/x
  3. Step 3: Cross multiply
    354.77x = 490.02 × 256.37
  4. Step 4: Simplify right side
    354.77x = 125,626.43
  5. Step 5: Solve for x
    x = 125,626.43/354.77
  6. Step 6: Final answer
    x = 354.11

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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.