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Finding the Fourth Proportional to 396.47, 594.70 and 153.02

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Solution

The fourth proportional to 396.47, 594.70 and 153.02 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.47 : 594.70 = 153.02 : x
  2. Step 2: Convert to fraction form
    396.47/594.70 = 153.02/x
  3. Step 3: Cross multiply
    396.47x = 594.70 × 153.02
  4. Step 4: Simplify right side
    396.47x = 90,997.64
  5. Step 5: Solve for x
    x = 90,997.64/396.47
  6. Step 6: Final answer
    x = 229.52

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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.