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Finding the Fourth Proportional to 311.77, 467.29 and 275.77

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Solution

The fourth proportional to 311.77, 467.29 and 275.77 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.77 : 467.29 = 275.77 : x
  2. Step 2: Convert to fraction form
    311.77/467.29 = 275.77/x
  3. Step 3: Cross multiply
    311.77x = 467.29 × 275.77
  4. Step 4: Simplify right side
    311.77x = 128,864.56
  5. Step 5: Solve for x
    x = 128,864.56/311.77
  6. Step 6: Final answer
    x = 413.33

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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.