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Finding the Fourth Proportional to 202.48, 279.56 and 128.92

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Solution

The fourth proportional to 202.48, 279.56 and 128.92 is: 178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 279.56 = 128.92 : x
  2. Step 2: Convert to fraction form
    202.48/279.56 = 128.92/x
  3. Step 3: Cross multiply
    202.48x = 279.56 × 128.92
  4. Step 4: Simplify right side
    202.48x = 36,040.88
  5. Step 5: Solve for x
    x = 36,040.88/202.48
  6. Step 6: Final answer
    x = 178.00

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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.