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Finding the Fourth Proportional to 202.13, 278.80 and 128.33

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Solution

The fourth proportional to 202.13, 278.80 and 128.33 is: 177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 278.80 = 128.33 : x
  2. Step 2: Convert to fraction form
    202.13/278.80 = 128.33/x
  3. Step 3: Cross multiply
    202.13x = 278.80 × 128.33
  4. Step 4: Simplify right side
    202.13x = 35,778.40
  5. Step 5: Solve for x
    x = 35,778.40/202.13
  6. Step 6: Final answer
    x = 177.01

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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.