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Finding the Fourth Proportional to 206, 310.44 and 172.52

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Solution

The fourth proportional to 206, 310.44 and 172.52 is: 259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 310.44 = 172.52 : x
  2. Step 2: Convert to fraction form
    206/310.44 = 172.52/x
  3. Step 3: Cross multiply
    206x = 310.44 × 172.52
  4. Step 4: Simplify right side
    206x = 53,557.11
  5. Step 5: Solve for x
    x = 53,557.11/206
  6. Step 6: Final answer
    x = 259.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.