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Finding the Fourth Proportional to 261.81, 394.17 and 181.20

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Solution

The fourth proportional to 261.81, 394.17 and 181.20 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.81 : 394.17 = 181.20 : x
  2. Step 2: Convert to fraction form
    261.81/394.17 = 181.20/x
  3. Step 3: Cross multiply
    261.81x = 394.17 × 181.20
  4. Step 4: Simplify right side
    261.81x = 71,423.60
  5. Step 5: Solve for x
    x = 71,423.60/261.81
  6. Step 6: Final answer
    x = 272.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.