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Finding the Fourth Proportional to 397.00, 595.70 and 300.09

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Solution

The fourth proportional to 397.00, 595.70 and 300.09 is: 450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.00 : 595.70 = 300.09 : x
  2. Step 2: Convert to fraction form
    397.00/595.70 = 300.09/x
  3. Step 3: Cross multiply
    397.00x = 595.70 × 300.09
  4. Step 4: Simplify right side
    397.00x = 178,765.47
  5. Step 5: Solve for x
    x = 178,765.47/397.00
  6. Step 6: Final answer
    x = 450.29

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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.