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Finding the Fourth Proportional to 613.05, 919.80 and 202.20

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Solution

The fourth proportional to 613.05, 919.80 and 202.20 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.05 : 919.80 = 202.20 : x
  2. Step 2: Convert to fraction form
    613.05/919.80 = 202.20/x
  3. Step 3: Cross multiply
    613.05x = 919.80 × 202.20
  4. Step 4: Simplify right side
    613.05x = 185,983.56
  5. Step 5: Solve for x
    x = 185,983.56/613.05
  6. Step 6: Final answer
    x = 303.37

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1.5x scale

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.