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Finding the Fourth Proportional to 320.49, 441.25 and 271.22

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Solution

The fourth proportional to 320.49, 441.25 and 271.22 is: 373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.49 : 441.25 = 271.22 : x
  2. Step 2: Convert to fraction form
    320.49/441.25 = 271.22/x
  3. Step 3: Cross multiply
    320.49x = 441.25 × 271.22
  4. Step 4: Simplify right side
    320.49x = 119,672.94
  5. Step 5: Solve for x
    x = 119,672.94/320.49
  6. Step 6: Final answer
    x = 373.41

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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.