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Finding the Fourth Proportional to 576.37, 864.65 and 206.15

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Solution

The fourth proportional to 576.37, 864.65 and 206.15 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.37 : 864.65 = 206.15 : x
  2. Step 2: Convert to fraction form
    576.37/864.65 = 206.15/x
  3. Step 3: Cross multiply
    576.37x = 864.65 × 206.15
  4. Step 4: Simplify right side
    576.37x = 178,247.49
  5. Step 5: Solve for x
    x = 178,247.49/576.37
  6. Step 6: Final answer
    x = 309.26

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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.