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Finding the Fourth Proportional to 396.51, 594.35 and 165.53

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Solution

The fourth proportional to 396.51, 594.35 and 165.53 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.51 : 594.35 = 165.53 : x
  2. Step 2: Convert to fraction form
    396.51/594.35 = 165.53/x
  3. Step 3: Cross multiply
    396.51x = 594.35 × 165.53
  4. Step 4: Simplify right side
    396.51x = 98,381.81
  5. Step 5: Solve for x
    x = 98,381.81/396.51
  6. Step 6: Final answer
    x = 248.12

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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.