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Finding the Fourth Proportional to 319.93, 441.47 and 180.03

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Solution

The fourth proportional to 319.93, 441.47 and 180.03 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.93 : 441.47 = 180.03 : x
  2. Step 2: Convert to fraction form
    319.93/441.47 = 180.03/x
  3. Step 3: Cross multiply
    319.93x = 441.47 × 180.03
  4. Step 4: Simplify right side
    319.93x = 79,475.96
  5. Step 5: Solve for x
    x = 79,475.96/319.93
  6. Step 6: Final answer
    x = 248.42

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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.