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Finding the Fourth Proportional to 261.20, 378.20 and 261.20

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Solution

The fourth proportional to 261.20, 378.20 and 261.20 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.20 : 378.20 = 261.20 : x
  2. Step 2: Convert to fraction form
    261.20/378.20 = 261.20/x
  3. Step 3: Cross multiply
    261.20x = 378.20 × 261.20
  4. Step 4: Simplify right side
    261.20x = 98,785.84
  5. Step 5: Solve for x
    x = 98,785.84/261.20
  6. Step 6: Final answer
    x = 378.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.