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Finding the Fourth Proportional to 202.43, 303.65 and 72.39

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Solution

The fourth proportional to 202.43, 303.65 and 72.39 is: 108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.43 : 303.65 = 72.39 : x
  2. Step 2: Convert to fraction form
    202.43/303.65 = 72.39/x
  3. Step 3: Cross multiply
    202.43x = 303.65 × 72.39
  4. Step 4: Simplify right side
    202.43x = 21,980.86
  5. Step 5: Solve for x
    x = 21,980.86/202.43
  6. Step 6: Final answer
    x = 108.59

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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.