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Finding the Fourth Proportional to 665.83, 998.90 and 203.61

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Solution

The fourth proportional to 665.83, 998.90 and 203.61 is: 305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.83 : 998.90 = 203.61 : x
  2. Step 2: Convert to fraction form
    665.83/998.90 = 203.61/x
  3. Step 3: Cross multiply
    665.83x = 998.90 × 203.61
  4. Step 4: Simplify right side
    665.83x = 203,380.02
  5. Step 5: Solve for x
    x = 203,380.02/665.83
  6. Step 6: Final answer
    x = 305.45

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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.