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Finding the Fourth Proportional to 202.72, 279.99 and 147.37

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Solution

The fourth proportional to 202.72, 279.99 and 147.37 is: 203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 279.99 = 147.37 : x
  2. Step 2: Convert to fraction form
    202.72/279.99 = 147.37/x
  3. Step 3: Cross multiply
    202.72x = 279.99 × 147.37
  4. Step 4: Simplify right side
    202.72x = 41,262.13
  5. Step 5: Solve for x
    x = 41,262.13/202.72
  6. Step 6: Final answer
    x = 203.54

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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.