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Finding the Fourth Proportional to 398.52, 600.29 and 355.69

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Solution

The fourth proportional to 398.52, 600.29 and 355.69 is: 535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 600.29 = 355.69 : x
  2. Step 2: Convert to fraction form
    398.52/600.29 = 355.69/x
  3. Step 3: Cross multiply
    398.52x = 600.29 × 355.69
  4. Step 4: Simplify right side
    398.52x = 213,516.46
  5. Step 5: Solve for x
    x = 213,516.46/398.52
  6. Step 6: Final answer
    x = 535.77

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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.