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Finding the Fourth Proportional to 202.59, 303.69 and 74.31

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Solution

The fourth proportional to 202.59, 303.69 and 74.31 is: 111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 303.69 = 74.31 : x
  2. Step 2: Convert to fraction form
    202.59/303.69 = 74.31/x
  3. Step 3: Cross multiply
    202.59x = 303.69 × 74.31
  4. Step 4: Simplify right side
    202.59x = 22,567.20
  5. Step 5: Solve for x
    x = 22,567.20/202.59
  6. Step 6: Final answer
    x = 111.39

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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.