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Finding the Fourth Proportional to 396.77, 547.98 and 309.29

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Solution

The fourth proportional to 396.77, 547.98 and 309.29 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 547.98 = 309.29 : x
  2. Step 2: Convert to fraction form
    396.77/547.98 = 309.29/x
  3. Step 3: Cross multiply
    396.77x = 547.98 × 309.29
  4. Step 4: Simplify right side
    396.77x = 169,486.10
  5. Step 5: Solve for x
    x = 169,486.10/396.77
  6. Step 6: Final answer
    x = 427.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.