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Finding the Fourth Proportional to 372.72, 561.84 and 309

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Solution

The fourth proportional to 372.72, 561.84 and 309 is: 465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.72 : 561.84 = 309 : x
  2. Step 2: Convert to fraction form
    372.72/561.84 = 309/x
  3. Step 3: Cross multiply
    372.72x = 561.84 × 309
  4. Step 4: Simplify right side
    372.72x = 173,608.56
  5. Step 5: Solve for x
    x = 173,608.56/372.72
  6. Step 6: Final answer
    x = 465.79

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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.