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Finding the Fourth Proportional to 315.80, 433.22 and 307.73

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Solution

The fourth proportional to 315.80, 433.22 and 307.73 is: 422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 433.22 = 307.73 : x
  2. Step 2: Convert to fraction form
    315.80/433.22 = 307.73/x
  3. Step 3: Cross multiply
    315.80x = 433.22 × 307.73
  4. Step 4: Simplify right side
    315.80x = 133,314.33
  5. Step 5: Solve for x
    x = 133,314.33/315.80
  6. Step 6: Final answer
    x = 422.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.