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Finding the Fourth Proportional to 270.88, 406.38 and 210.76

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Solution

The fourth proportional to 270.88, 406.38 and 210.76 is: 316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 406.38 = 210.76 : x
  2. Step 2: Convert to fraction form
    270.88/406.38 = 210.76/x
  3. Step 3: Cross multiply
    270.88x = 406.38 × 210.76
  4. Step 4: Simplify right side
    270.88x = 85,648.65
  5. Step 5: Solve for x
    x = 85,648.65/270.88
  6. Step 6: Final answer
    x = 316.19

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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.