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Finding the Fourth Proportional to 230.50, 344.57 and 172.70

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Solution

The fourth proportional to 230.50, 344.57 and 172.70 is: 258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 344.57 = 172.70 : x
  2. Step 2: Convert to fraction form
    230.50/344.57 = 172.70/x
  3. Step 3: Cross multiply
    230.50x = 344.57 × 172.70
  4. Step 4: Simplify right side
    230.50x = 59,507.24
  5. Step 5: Solve for x
    x = 59,507.24/230.50
  6. Step 6: Final answer
    x = 258.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.