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Finding the Fourth Proportional to 320.49, 441.86 and 288.09

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Solution

The fourth proportional to 320.49, 441.86 and 288.09 is: 397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.49 : 441.86 = 288.09 : x
  2. Step 2: Convert to fraction form
    320.49/441.86 = 288.09/x
  3. Step 3: Cross multiply
    320.49x = 441.86 × 288.09
  4. Step 4: Simplify right side
    320.49x = 127,294.01
  5. Step 5: Solve for x
    x = 127,294.01/320.49
  6. Step 6: Final answer
    x = 397.19

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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.