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Finding the Fourth Proportional to 636, 953.70 and 270.66

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Solution

The fourth proportional to 636, 953.70 and 270.66 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    636 : 953.70 = 270.66 : x
  2. Step 2: Convert to fraction form
    636/953.70 = 270.66/x
  3. Step 3: Cross multiply
    636x = 953.70 × 270.66
  4. Step 4: Simplify right side
    636x = 258,128.44
  5. Step 5: Solve for x
    x = 258,128.44/636
  6. Step 6: Final answer
    x = 405.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.