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Finding the Fourth Proportional to 319.85, 441.38 and 187.07

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Solution

The fourth proportional to 319.85, 441.38 and 187.07 is: 258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 441.38 = 187.07 : x
  2. Step 2: Convert to fraction form
    319.85/441.38 = 187.07/x
  3. Step 3: Cross multiply
    319.85x = 441.38 × 187.07
  4. Step 4: Simplify right side
    319.85x = 82,568.96
  5. Step 5: Solve for x
    x = 82,568.96/319.85
  6. Step 6: Final answer
    x = 258.15

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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.