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Finding the Fourth Proportional to 398.11, 595.67 and 376.15

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Solution

The fourth proportional to 398.11, 595.67 and 376.15 is: 562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.11 : 595.67 = 376.15 : x
  2. Step 2: Convert to fraction form
    398.11/595.67 = 376.15/x
  3. Step 3: Cross multiply
    398.11x = 595.67 × 376.15
  4. Step 4: Simplify right side
    398.11x = 224,059.39
  5. Step 5: Solve for x
    x = 224,059.39/398.11
  6. Step 6: Final answer
    x = 562.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.