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Finding the Fourth Proportional to 396.77, 547.47 and 230.93

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Solution

The fourth proportional to 396.77, 547.47 and 230.93 is: 318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 547.47 = 230.93 : x
  2. Step 2: Convert to fraction form
    396.77/547.47 = 230.93/x
  3. Step 3: Cross multiply
    396.77x = 547.47 × 230.93
  4. Step 4: Simplify right side
    396.77x = 126,424.51
  5. Step 5: Solve for x
    x = 126,424.51/396.77
  6. Step 6: Final answer
    x = 318.63

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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.