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Finding the Fourth Proportional to 261.32, 361.14 and 209.48

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Solution

The fourth proportional to 261.32, 361.14 and 209.48 is: 289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.32 : 361.14 = 209.48 : x
  2. Step 2: Convert to fraction form
    261.32/361.14 = 209.48/x
  3. Step 3: Cross multiply
    261.32x = 361.14 × 209.48
  4. Step 4: Simplify right side
    261.32x = 75,651.61
  5. Step 5: Solve for x
    x = 75,651.61/261.32
  6. Step 6: Final answer
    x = 289.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.