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Finding the Fourth Proportional to 311.76, 431.16 and 277.36

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Solution

The fourth proportional to 311.76, 431.16 and 277.36 is: 383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 431.16 = 277.36 : x
  2. Step 2: Convert to fraction form
    311.76/431.16 = 277.36/x
  3. Step 3: Cross multiply
    311.76x = 431.16 × 277.36
  4. Step 4: Simplify right side
    311.76x = 119,586.54
  5. Step 5: Solve for x
    x = 119,586.54/311.76
  6. Step 6: Final answer
    x = 383.59

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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.