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Finding the Fourth Proportional to 275.86, 382.58 and 266.14

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Solution

The fourth proportional to 275.86, 382.58 and 266.14 is: 369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.86 : 382.58 = 266.14 : x
  2. Step 2: Convert to fraction form
    275.86/382.58 = 266.14/x
  3. Step 3: Cross multiply
    275.86x = 382.58 × 266.14
  4. Step 4: Simplify right side
    275.86x = 101,819.84
  5. Step 5: Solve for x
    x = 101,819.84/275.86
  6. Step 6: Final answer
    x = 369.10

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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.