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Finding the Fourth Proportional to 261.90, 361.80 and 253.80

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Solution

The fourth proportional to 261.90, 361.80 and 253.80 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 361.80 = 253.80 : x
  2. Step 2: Convert to fraction form
    261.90/361.80 = 253.80/x
  3. Step 3: Cross multiply
    261.90x = 361.80 × 253.80
  4. Step 4: Simplify right side
    261.90x = 91,824.84
  5. Step 5: Solve for x
    x = 91,824.84/261.90
  6. Step 6: Final answer
    x = 350.61

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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.