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Finding the Fourth Proportional to 361.36, 498 and 309.52

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Solution

The fourth proportional to 361.36, 498 and 309.52 is: 426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.36 : 498 = 309.52 : x
  2. Step 2: Convert to fraction form
    361.36/498 = 309.52/x
  3. Step 3: Cross multiply
    361.36x = 498 × 309.52
  4. Step 4: Simplify right side
    361.36x = 154,140.96
  5. Step 5: Solve for x
    x = 154,140.96/361.36
  6. Step 6: Final answer
    x = 426.56

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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.