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Finding the Fourth Proportional to 398.13, 594.39 and 340.37

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Solution

The fourth proportional to 398.13, 594.39 and 340.37 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.13 : 594.39 = 340.37 : x
  2. Step 2: Convert to fraction form
    398.13/594.39 = 340.37/x
  3. Step 3: Cross multiply
    398.13x = 594.39 × 340.37
  4. Step 4: Simplify right side
    398.13x = 202,312.52
  5. Step 5: Solve for x
    x = 202,312.52/398.13
  6. Step 6: Final answer
    x = 508.16

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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.