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Finding the Fourth Proportional to 202.33, 279.25 and 147.23

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Solution

The fourth proportional to 202.33, 279.25 and 147.23 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.33 : 279.25 = 147.23 : x
  2. Step 2: Convert to fraction form
    202.33/279.25 = 147.23/x
  3. Step 3: Cross multiply
    202.33x = 279.25 × 147.23
  4. Step 4: Simplify right side
    202.33x = 41,112.21
  5. Step 5: Solve for x
    x = 41,112.21/202.33
  6. Step 6: Final answer
    x = 203.20

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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.