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Finding the Fourth Proportional to 396.40, 591.65 and 386.68

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Solution

The fourth proportional to 396.40, 591.65 and 386.68 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.40 : 591.65 = 386.68 : x
  2. Step 2: Convert to fraction form
    396.40/591.65 = 386.68/x
  3. Step 3: Cross multiply
    396.40x = 591.65 × 386.68
  4. Step 4: Simplify right side
    396.40x = 228,779.22
  5. Step 5: Solve for x
    x = 228,779.22/396.40
  6. Step 6: Final answer
    x = 577.14

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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.