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Finding the Fourth Proportional to 202.13, 278.98 and 132.40

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Solution

The fourth proportional to 202.13, 278.98 and 132.40 is: 182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 278.98 = 132.40 : x
  2. Step 2: Convert to fraction form
    202.13/278.98 = 132.40/x
  3. Step 3: Cross multiply
    202.13x = 278.98 × 132.40
  4. Step 4: Simplify right side
    202.13x = 36,936.97
  5. Step 5: Solve for x
    x = 36,936.97/202.13
  6. Step 6: Final answer
    x = 182.74

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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.