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Finding the Fourth Proportional to 353.58, 487.67 and 255.66

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Solution

The fourth proportional to 353.58, 487.67 and 255.66 is: 352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.58 : 487.67 = 255.66 : x
  2. Step 2: Convert to fraction form
    353.58/487.67 = 255.66/x
  3. Step 3: Cross multiply
    353.58x = 487.67 × 255.66
  4. Step 4: Simplify right side
    353.58x = 124,677.71
  5. Step 5: Solve for x
    x = 124,677.71/353.58
  6. Step 6: Final answer
    x = 352.62

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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.