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Finding the Fourth Proportional to 319.44, 441.12 and 270.72

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Solution

The fourth proportional to 319.44, 441.12 and 270.72 is: 373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.44 : 441.12 = 270.72 : x
  2. Step 2: Convert to fraction form
    319.44/441.12 = 270.72/x
  3. Step 3: Cross multiply
    319.44x = 441.12 × 270.72
  4. Step 4: Simplify right side
    319.44x = 119,420.01
  5. Step 5: Solve for x
    x = 119,420.01/319.44
  6. Step 6: Final answer
    x = 373.84

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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.