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Finding the Fourth Proportional to 211.21, 316.17 and 184.21

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Solution

The fourth proportional to 211.21, 316.17 and 184.21 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 316.17 = 184.21 : x
  2. Step 2: Convert to fraction form
    211.21/316.17 = 184.21/x
  3. Step 3: Cross multiply
    211.21x = 316.17 × 184.21
  4. Step 4: Simplify right side
    211.21x = 58,240.89
  5. Step 5: Solve for x
    x = 58,240.89/211.21
  6. Step 6: Final answer
    x = 275.75

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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.