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Finding the Fourth Proportional to 398.27, 594.68 and 356.87

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Solution

The fourth proportional to 398.27, 594.68 and 356.87 is: 532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.27 : 594.68 = 356.87 : x
  2. Step 2: Convert to fraction form
    398.27/594.68 = 356.87/x
  3. Step 3: Cross multiply
    398.27x = 594.68 × 356.87
  4. Step 4: Simplify right side
    398.27x = 212,223.45
  5. Step 5: Solve for x
    x = 212,223.45/398.27
  6. Step 6: Final answer
    x = 532.86

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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.