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Finding the Fourth Proportional to 211.34, 316.50 and 172.14

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Solution

The fourth proportional to 211.34, 316.50 and 172.14 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.34 : 316.50 = 172.14 : x
  2. Step 2: Convert to fraction form
    211.34/316.50 = 172.14/x
  3. Step 3: Cross multiply
    211.34x = 316.50 × 172.14
  4. Step 4: Simplify right side
    211.34x = 54,480.48
  5. Step 5: Solve for x
    x = 54,480.48/211.34
  6. Step 6: Final answer
    x = 257.78

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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.