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Finding the Fourth Proportional to 396.68, 595.30 and 266.93

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Solution

The fourth proportional to 396.68, 595.30 and 266.93 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.68 : 595.30 = 266.93 : x
  2. Step 2: Convert to fraction form
    396.68/595.30 = 266.93/x
  3. Step 3: Cross multiply
    396.68x = 595.30 × 266.93
  4. Step 4: Simplify right side
    396.68x = 158,902.52
  5. Step 5: Solve for x
    x = 158,902.52/396.68
  6. Step 6: Final answer
    x = 400.58

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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.