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Finding the Fourth Proportional to 361.68, 538.65 and 339.19

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Solution

The fourth proportional to 361.68, 538.65 and 339.19 is: 505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 538.65 = 339.19 : x
  2. Step 2: Convert to fraction form
    361.68/538.65 = 339.19/x
  3. Step 3: Cross multiply
    361.68x = 538.65 × 339.19
  4. Step 4: Simplify right side
    361.68x = 182,704.69
  5. Step 5: Solve for x
    x = 182,704.69/361.68
  6. Step 6: Final answer
    x = 505.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.