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Finding the Fourth Proportional to 372.83, 561.72 and 343.31

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Solution

The fourth proportional to 372.83, 561.72 and 343.31 is: 517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.83 : 561.72 = 343.31 : x
  2. Step 2: Convert to fraction form
    372.83/561.72 = 343.31/x
  3. Step 3: Cross multiply
    372.83x = 561.72 × 343.31
  4. Step 4: Simplify right side
    372.83x = 192,842.57
  5. Step 5: Solve for x
    x = 192,842.57/372.83
  6. Step 6: Final answer
    x = 517.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.