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Finding the Fourth Proportional to 311.24, 465.60 and 262.02

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Solution

The fourth proportional to 311.24, 465.60 and 262.02 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 465.60 = 262.02 : x
  2. Step 2: Convert to fraction form
    311.24/465.60 = 262.02/x
  3. Step 3: Cross multiply
    311.24x = 465.60 × 262.02
  4. Step 4: Simplify right side
    311.24x = 121,996.51
  5. Step 5: Solve for x
    x = 121,996.51/311.24
  6. Step 6: Final answer
    x = 391.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.