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Finding the Fourth Proportional to 396.19, 594.21 and 152.66

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Solution

The fourth proportional to 396.19, 594.21 and 152.66 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 594.21 = 152.66 : x
  2. Step 2: Convert to fraction form
    396.19/594.21 = 152.66/x
  3. Step 3: Cross multiply
    396.19x = 594.21 × 152.66
  4. Step 4: Simplify right side
    396.19x = 90,712.10
  5. Step 5: Solve for x
    x = 90,712.10/396.19
  6. Step 6: Final answer
    x = 228.96

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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.