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Finding the Fourth Proportional to 204.36, 308.10 and 172.68

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Solution

The fourth proportional to 204.36, 308.10 and 172.68 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.36 : 308.10 = 172.68 : x
  2. Step 2: Convert to fraction form
    204.36/308.10 = 172.68/x
  3. Step 3: Cross multiply
    204.36x = 308.10 × 172.68
  4. Step 4: Simplify right side
    204.36x = 53,202.71
  5. Step 5: Solve for x
    x = 53,202.71/204.36
  6. Step 6: Final answer
    x = 260.34

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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.