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Finding the Fourth Proportional to 354.10, 487.99 and 255.68

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Solution

The fourth proportional to 354.10, 487.99 and 255.68 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 487.99 = 255.68 : x
  2. Step 2: Convert to fraction form
    354.10/487.99 = 255.68/x
  3. Step 3: Cross multiply
    354.10x = 487.99 × 255.68
  4. Step 4: Simplify right side
    354.10x = 124,768.00
  5. Step 5: Solve for x
    x = 124,768.00/354.10
  6. Step 6: Final answer
    x = 352.36

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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.