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Finding the Fourth Proportional to 230.20, 343.70 and 207.16

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Solution

The fourth proportional to 230.20, 343.70 and 207.16 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.20 : 343.70 = 207.16 : x
  2. Step 2: Convert to fraction form
    230.20/343.70 = 207.16/x
  3. Step 3: Cross multiply
    230.20x = 343.70 × 207.16
  4. Step 4: Simplify right side
    230.20x = 71,200.89
  5. Step 5: Solve for x
    x = 71,200.89/230.20
  6. Step 6: Final answer
    x = 309.30

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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.