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Finding the Fourth Proportional to 261.81, 361.13 and 173.29

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Solution

The fourth proportional to 261.81, 361.13 and 173.29 is: 239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.81 : 361.13 = 173.29 : x
  2. Step 2: Convert to fraction form
    261.81/361.13 = 173.29/x
  3. Step 3: Cross multiply
    261.81x = 361.13 × 173.29
  4. Step 4: Simplify right side
    261.81x = 62,580.22
  5. Step 5: Solve for x
    x = 62,580.22/261.81
  6. Step 6: Final answer
    x = 239.03

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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.