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Finding the Fourth Proportional to 202.06, 278.88 and 128.40

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Solution

The fourth proportional to 202.06, 278.88 and 128.40 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 278.88 = 128.40 : x
  2. Step 2: Convert to fraction form
    202.06/278.88 = 128.40/x
  3. Step 3: Cross multiply
    202.06x = 278.88 × 128.40
  4. Step 4: Simplify right side
    202.06x = 35,808.23
  5. Step 5: Solve for x
    x = 35,808.23/202.06
  6. Step 6: Final answer
    x = 177.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.