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Finding the Fourth Proportional to 397.11, 595.16 and 371.19

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Solution

The fourth proportional to 397.11, 595.16 and 371.19 is: 556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.11 : 595.16 = 371.19 : x
  2. Step 2: Convert to fraction form
    397.11/595.16 = 371.19/x
  3. Step 3: Cross multiply
    397.11x = 595.16 × 371.19
  4. Step 4: Simplify right side
    397.11x = 220,919.21
  5. Step 5: Solve for x
    x = 220,919.21/397.11
  6. Step 6: Final answer
    x = 556.31

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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.