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Finding the Fourth Proportional to 202.23, 278.91 and 128.59

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Solution

The fourth proportional to 202.23, 278.91 and 128.59 is: 177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 278.91 = 128.59 : x
  2. Step 2: Convert to fraction form
    202.23/278.91 = 128.59/x
  3. Step 3: Cross multiply
    202.23x = 278.91 × 128.59
  4. Step 4: Simplify right side
    202.23x = 35,864.34
  5. Step 5: Solve for x
    x = 35,864.34/202.23
  6. Step 6: Final answer
    x = 177.34

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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.