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Finding the Fourth Proportional to 319.78, 441.32 and 187.04

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Solution

The fourth proportional to 319.78, 441.32 and 187.04 is: 258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 441.32 = 187.04 : x
  2. Step 2: Convert to fraction form
    319.78/441.32 = 187.04/x
  3. Step 3: Cross multiply
    319.78x = 441.32 × 187.04
  4. Step 4: Simplify right side
    319.78x = 82,544.49
  5. Step 5: Solve for x
    x = 82,544.49/319.78
  6. Step 6: Final answer
    x = 258.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.