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Finding the Fourth Proportional to 211.84, 318.24 and 203.44

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Solution

The fourth proportional to 211.84, 318.24 and 203.44 is: 305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 318.24 = 203.44 : x
  2. Step 2: Convert to fraction form
    211.84/318.24 = 203.44/x
  3. Step 3: Cross multiply
    211.84x = 318.24 × 203.44
  4. Step 4: Simplify right side
    211.84x = 64,742.75
  5. Step 5: Solve for x
    x = 64,742.75/211.84
  6. Step 6: Final answer
    x = 305.62

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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.