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Finding the Fourth Proportional to 576.26, 864.49 and 206.16

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Solution

The fourth proportional to 576.26, 864.49 and 206.16 is: 309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.26 : 864.49 = 206.16 : x
  2. Step 2: Convert to fraction form
    576.26/864.49 = 206.16/x
  3. Step 3: Cross multiply
    576.26x = 864.49 × 206.16
  4. Step 4: Simplify right side
    576.26x = 178,223.26
  5. Step 5: Solve for x
    x = 178,223.26/576.26
  6. Step 6: Final answer
    x = 309.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.