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Finding the Fourth Proportional to 398.52, 594.54 and 361.26

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Solution

The fourth proportional to 398.52, 594.54 and 361.26 is: 538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 594.54 = 361.26 : x
  2. Step 2: Convert to fraction form
    398.52/594.54 = 361.26/x
  3. Step 3: Cross multiply
    398.52x = 594.54 × 361.26
  4. Step 4: Simplify right side
    398.52x = 214,783.52
  5. Step 5: Solve for x
    x = 214,783.52/398.52
  6. Step 6: Final answer
    x = 538.95

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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.