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Finding the Fourth Proportional to 403.37, 604.75 and 159.83

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Solution

The fourth proportional to 403.37, 604.75 and 159.83 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.37 : 604.75 = 159.83 : x
  2. Step 2: Convert to fraction form
    403.37/604.75 = 159.83/x
  3. Step 3: Cross multiply
    403.37x = 604.75 × 159.83
  4. Step 4: Simplify right side
    403.37x = 96,657.19
  5. Step 5: Solve for x
    x = 96,657.19/403.37
  6. Step 6: Final answer
    x = 239.62

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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.