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Finding the Fourth Proportional to 202.59, 279.63 and 140.31

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Solution

The fourth proportional to 202.59, 279.63 and 140.31 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 279.63 = 140.31 : x
  2. Step 2: Convert to fraction form
    202.59/279.63 = 140.31/x
  3. Step 3: Cross multiply
    202.59x = 279.63 × 140.31
  4. Step 4: Simplify right side
    202.59x = 39,234.89
  5. Step 5: Solve for x
    x = 39,234.89/202.59
  6. Step 6: Final answer
    x = 193.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.