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Finding the Fourth Proportional to 202.13, 278.84 and 132.18

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Solution

The fourth proportional to 202.13, 278.84 and 132.18 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 278.84 = 132.18 : x
  2. Step 2: Convert to fraction form
    202.13/278.84 = 132.18/x
  3. Step 3: Cross multiply
    202.13x = 278.84 × 132.18
  4. Step 4: Simplify right side
    202.13x = 36,857.07
  5. Step 5: Solve for x
    x = 36,857.07/202.13
  6. Step 6: Final answer
    x = 182.34

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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.