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Finding the Fourth Proportional to 398.40, 594.17 and 359.52

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Solution

The fourth proportional to 398.40, 594.17 and 359.52 is: 536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.40 : 594.17 = 359.52 : x
  2. Step 2: Convert to fraction form
    398.40/594.17 = 359.52/x
  3. Step 3: Cross multiply
    398.40x = 594.17 × 359.52
  4. Step 4: Simplify right side
    398.40x = 213,614.20
  5. Step 5: Solve for x
    x = 213,614.20/398.40
  6. Step 6: Final answer
    x = 536.18

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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.