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Finding the Fourth Proportional to 230.40, 343.62 and 206.10

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Solution

The fourth proportional to 230.40, 343.62 and 206.10 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.40 : 343.62 = 206.10 : x
  2. Step 2: Convert to fraction form
    230.40/343.62 = 206.10/x
  3. Step 3: Cross multiply
    230.40x = 343.62 × 206.10
  4. Step 4: Simplify right side
    230.40x = 70,820.08
  5. Step 5: Solve for x
    x = 70,820.08/230.40
  6. Step 6: Final answer
    x = 307.38

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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.