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Finding the Fourth Proportional to 396.90, 591.93 and 358.02

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Solution

The fourth proportional to 396.90, 591.93 and 358.02 is: 533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 591.93 = 358.02 : x
  2. Step 2: Convert to fraction form
    396.90/591.93 = 358.02/x
  3. Step 3: Cross multiply
    396.90x = 591.93 × 358.02
  4. Step 4: Simplify right side
    396.90x = 211,922.78
  5. Step 5: Solve for x
    x = 211,922.78/396.90
  6. Step 6: Final answer
    x = 533.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.