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Finding the Fourth Proportional to 397.12, 595.06 and 252.40

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Solution

The fourth proportional to 397.12, 595.06 and 252.40 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 595.06 = 252.40 : x
  2. Step 2: Convert to fraction form
    397.12/595.06 = 252.40/x
  3. Step 3: Cross multiply
    397.12x = 595.06 × 252.40
  4. Step 4: Simplify right side
    397.12x = 150,193.14
  5. Step 5: Solve for x
    x = 150,193.14/397.12
  6. Step 6: Final answer
    x = 378.21

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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.