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Finding the Fourth Proportional to 261.64, 361.38 and 229.48

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Solution

The fourth proportional to 261.64, 361.38 and 229.48 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 361.38 = 229.48 : x
  2. Step 2: Convert to fraction form
    261.64/361.38 = 229.48/x
  3. Step 3: Cross multiply
    261.64x = 361.38 × 229.48
  4. Step 4: Simplify right side
    261.64x = 82,929.48
  5. Step 5: Solve for x
    x = 82,929.48/261.64
  6. Step 6: Final answer
    x = 316.96

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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.