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Finding the Fourth Proportional to 270.92, 371.42 and 266.06

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Solution

The fourth proportional to 270.92, 371.42 and 266.06 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 371.42 = 266.06 : x
  2. Step 2: Convert to fraction form
    270.92/371.42 = 266.06/x
  3. Step 3: Cross multiply
    270.92x = 371.42 × 266.06
  4. Step 4: Simplify right side
    270.92x = 98,820.01
  5. Step 5: Solve for x
    x = 98,820.01/270.92
  6. Step 6: Final answer
    x = 364.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.