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Finding the Fourth Proportional to 275.01, 411.99 and 137.90

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Solution

The fourth proportional to 275.01, 411.99 and 137.90 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.01 : 411.99 = 137.90 : x
  2. Step 2: Convert to fraction form
    275.01/411.99 = 137.90/x
  3. Step 3: Cross multiply
    275.01x = 411.99 × 137.90
  4. Step 4: Simplify right side
    275.01x = 56,811.36
  5. Step 5: Solve for x
    x = 56,811.36/275.01
  6. Step 6: Final answer
    x = 206.58

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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.