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Finding the Fourth Proportional to 230.45, 346.83 and 172.97

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Solution

The fourth proportional to 230.45, 346.83 and 172.97 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.45 : 346.83 = 172.97 : x
  2. Step 2: Convert to fraction form
    230.45/346.83 = 172.97/x
  3. Step 3: Cross multiply
    230.45x = 346.83 × 172.97
  4. Step 4: Simplify right side
    230.45x = 59,990.10
  5. Step 5: Solve for x
    x = 59,990.10/230.45
  6. Step 6: Final answer
    x = 260.32

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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.