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Finding the Fourth Proportional to 397.15, 595.90 and 202.12

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Solution

The fourth proportional to 397.15, 595.90 and 202.12 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.15 : 595.90 = 202.12 : x
  2. Step 2: Convert to fraction form
    397.15/595.90 = 202.12/x
  3. Step 3: Cross multiply
    397.15x = 595.90 × 202.12
  4. Step 4: Simplify right side
    397.15x = 120,443.31
  5. Step 5: Solve for x
    x = 120,443.31/397.15
  6. Step 6: Final answer
    x = 303.27

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