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Finding the Fourth Proportional to 212.52, 317.04 and 206.64

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Solution

The fourth proportional to 212.52, 317.04 and 206.64 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.52 : 317.04 = 206.64 : x
  2. Step 2: Convert to fraction form
    212.52/317.04 = 206.64/x
  3. Step 3: Cross multiply
    212.52x = 317.04 × 206.64
  4. Step 4: Simplify right side
    212.52x = 65,513.15
  5. Step 5: Solve for x
    x = 65,513.15/212.52
  6. Step 6: Final answer
    x = 308.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.