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Finding the Fourth Proportional to 202.62, 279.48 and 147.44

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Solution

The fourth proportional to 202.62, 279.48 and 147.44 is: 203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.62 : 279.48 = 147.44 : x
  2. Step 2: Convert to fraction form
    202.62/279.48 = 147.44/x
  3. Step 3: Cross multiply
    202.62x = 279.48 × 147.44
  4. Step 4: Simplify right side
    202.62x = 41,206.53
  5. Step 5: Solve for x
    x = 41,206.53/202.62
  6. Step 6: Final answer
    x = 203.37

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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.