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Finding the Fourth Proportional to 398.41, 594.86 and 373.82

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Solution

The fourth proportional to 398.41, 594.86 and 373.82 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.41 : 594.86 = 373.82 : x
  2. Step 2: Convert to fraction form
    398.41/594.86 = 373.82/x
  3. Step 3: Cross multiply
    398.41x = 594.86 × 373.82
  4. Step 4: Simplify right side
    398.41x = 222,365.72
  5. Step 5: Solve for x
    x = 222,365.72/398.41
  6. Step 6: Final answer
    x = 558.14

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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.