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Finding the Fourth Proportional to 211.13, 316.01 and 172.29

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Solution

The fourth proportional to 211.13, 316.01 and 172.29 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 316.01 = 172.29 : x
  2. Step 2: Convert to fraction form
    211.13/316.01 = 172.29/x
  3. Step 3: Cross multiply
    211.13x = 316.01 × 172.29
  4. Step 4: Simplify right side
    211.13x = 54,445.36
  5. Step 5: Solve for x
    x = 54,445.36/211.13
  6. Step 6: Final answer
    x = 257.88

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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.