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Finding the Fourth Proportional to 792.30, 1,188.50 and 244.49

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Solution

The fourth proportional to 792.30, 1,188.50 and 244.49 is: 366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.30 : 1,188.50 = 244.49 : x
  2. Step 2: Convert to fraction form
    792.30/1,188.50 = 244.49/x
  3. Step 3: Cross multiply
    792.30x = 1,188.50 × 244.49
  4. Step 4: Simplify right side
    792.30x = 290,575.14
  5. Step 5: Solve for x
    x = 290,575.14/792.30
  6. Step 6: Final answer
    x = 366.75

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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.