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Finding the Fourth Proportional to 200.46, 301.08 and 140.10

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Solution

The fourth proportional to 200.46, 301.08 and 140.10 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 301.08 = 140.10 : x
  2. Step 2: Convert to fraction form
    200.46/301.08 = 140.10/x
  3. Step 3: Cross multiply
    200.46x = 301.08 × 140.10
  4. Step 4: Simplify right side
    200.46x = 42,181.31
  5. Step 5: Solve for x
    x = 42,181.31/200.46
  6. Step 6: Final answer
    x = 210.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.