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Finding the Fourth Proportional to 202.54, 279.38 and 147.12

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Solution

The fourth proportional to 202.54, 279.38 and 147.12 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.54 : 279.38 = 147.12 : x
  2. Step 2: Convert to fraction form
    202.54/279.38 = 147.12/x
  3. Step 3: Cross multiply
    202.54x = 279.38 × 147.12
  4. Step 4: Simplify right side
    202.54x = 41,102.39
  5. Step 5: Solve for x
    x = 41,102.39/202.54
  6. Step 6: Final answer
    x = 202.93

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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.