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Finding the Fourth Proportional to 441.30, 608.92 and 264.22

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Solution

The fourth proportional to 441.30, 608.92 and 264.22 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.30 : 608.92 = 264.22 : x
  2. Step 2: Convert to fraction form
    441.30/608.92 = 264.22/x
  3. Step 3: Cross multiply
    441.30x = 608.92 × 264.22
  4. Step 4: Simplify right side
    441.30x = 160,888.84
  5. Step 5: Solve for x
    x = 160,888.84/441.30
  6. Step 6: Final answer
    x = 364.58

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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.