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Finding the Fourth Proportional to 275.62, 382.13 and 266.62

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Solution

The fourth proportional to 275.62, 382.13 and 266.62 is: 369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.62 : 382.13 = 266.62 : x
  2. Step 2: Convert to fraction form
    275.62/382.13 = 266.62/x
  3. Step 3: Cross multiply
    275.62x = 382.13 × 266.62
  4. Step 4: Simplify right side
    275.62x = 101,883.50
  5. Step 5: Solve for x
    x = 101,883.50/275.62
  6. Step 6: Final answer
    x = 369.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.