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Finding the Fourth Proportional to 211.92, 317.80 and 201.84

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Solution

The fourth proportional to 211.92, 317.80 and 201.84 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 317.80 = 201.84 : x
  2. Step 2: Convert to fraction form
    211.92/317.80 = 201.84/x
  3. Step 3: Cross multiply
    211.92x = 317.80 × 201.84
  4. Step 4: Simplify right side
    211.92x = 64,144.75
  5. Step 5: Solve for x
    x = 64,144.75/211.92
  6. Step 6: Final answer
    x = 302.68

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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.