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Finding the Fourth Proportional to 396.99, 595.26 and 153.59

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Solution

The fourth proportional to 396.99, 595.26 and 153.59 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.99 : 595.26 = 153.59 : x
  2. Step 2: Convert to fraction form
    396.99/595.26 = 153.59/x
  3. Step 3: Cross multiply
    396.99x = 595.26 × 153.59
  4. Step 4: Simplify right side
    396.99x = 91,423.01
  5. Step 5: Solve for x
    x = 91,423.01/396.99
  6. Step 6: Final answer
    x = 230.29

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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.