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Finding the Fourth Proportional to 311.86, 465.08 and 266.50

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Solution

The fourth proportional to 311.86, 465.08 and 266.50 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.86 : 465.08 = 266.50 : x
  2. Step 2: Convert to fraction form
    311.86/465.08 = 266.50/x
  3. Step 3: Cross multiply
    311.86x = 465.08 × 266.50
  4. Step 4: Simplify right side
    311.86x = 123,943.82
  5. Step 5: Solve for x
    x = 123,943.82/311.86
  6. Step 6: Final answer
    x = 397.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.