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Finding the Fourth Proportional to 361.07, 498.14 and 236.80

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Solution

The fourth proportional to 361.07, 498.14 and 236.80 is: 326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.07 : 498.14 = 236.80 : x
  2. Step 2: Convert to fraction form
    361.07/498.14 = 236.80/x
  3. Step 3: Cross multiply
    361.07x = 498.14 × 236.80
  4. Step 4: Simplify right side
    361.07x = 117,959.14
  5. Step 5: Solve for x
    x = 117,959.14/361.07
  6. Step 6: Final answer
    x = 326.69

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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.