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Finding the Fourth Proportional to 277.70, 383.28 and 231.01

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Solution

The fourth proportional to 277.70, 383.28 and 231.01 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 383.28 = 231.01 : x
  2. Step 2: Convert to fraction form
    277.70/383.28 = 231.01/x
  3. Step 3: Cross multiply
    277.70x = 383.28 × 231.01
  4. Step 4: Simplify right side
    277.70x = 88,540.36
  5. Step 5: Solve for x
    x = 88,540.36/277.70
  6. Step 6: Final answer
    x = 318.83

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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.