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Finding the Fourth Proportional to 400.02, 600.09 and 140.05

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Solution

The fourth proportional to 400.02, 600.09 and 140.05 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 600.09 = 140.05 : x
  2. Step 2: Convert to fraction form
    400.02/600.09 = 140.05/x
  3. Step 3: Cross multiply
    400.02x = 600.09 × 140.05
  4. Step 4: Simplify right side
    400.02x = 84,043.35
  5. Step 5: Solve for x
    x = 84,043.35/400.02
  6. Step 6: Final answer
    x = 210.10

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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.