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Finding the Fourth Proportional to 275.02, 411.87 and 137.89

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Solution

The fourth proportional to 275.02, 411.87 and 137.89 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 411.87 = 137.89 : x
  2. Step 2: Convert to fraction form
    275.02/411.87 = 137.89/x
  3. Step 3: Cross multiply
    275.02x = 411.87 × 137.89
  4. Step 4: Simplify right side
    275.02x = 56,792.75
  5. Step 5: Solve for x
    x = 56,792.75/275.02
  6. Step 6: Final answer
    x = 206.50

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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.