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Finding the Fourth Proportional to 275.10, 414.71 and 272.67

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Solution

The fourth proportional to 275.10, 414.71 and 272.67 is: 411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 414.71 = 272.67 : x
  2. Step 2: Convert to fraction form
    275.10/414.71 = 272.67/x
  3. Step 3: Cross multiply
    275.10x = 414.71 × 272.67
  4. Step 4: Simplify right side
    275.10x = 113,079.66
  5. Step 5: Solve for x
    x = 113,079.66/275.10
  6. Step 6: Final answer
    x = 411.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.