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Finding the Fourth Proportional to 311.88, 430.87 and 265.73

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Solution

The fourth proportional to 311.88, 430.87 and 265.73 is: 367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 430.87 = 265.73 : x
  2. Step 2: Convert to fraction form
    311.88/430.87 = 265.73/x
  3. Step 3: Cross multiply
    311.88x = 430.87 × 265.73
  4. Step 4: Simplify right side
    311.88x = 114,495.19
  5. Step 5: Solve for x
    x = 114,495.19/311.88
  6. Step 6: Final answer
    x = 367.11

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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.