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Finding the Fourth Proportional to 202.04, 278.71 and 132.02

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Solution

The fourth proportional to 202.04, 278.71 and 132.02 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 278.71 = 132.02 : x
  2. Step 2: Convert to fraction form
    202.04/278.71 = 132.02/x
  3. Step 3: Cross multiply
    202.04x = 278.71 × 132.02
  4. Step 4: Simplify right side
    202.04x = 36,795.29
  5. Step 5: Solve for x
    x = 36,795.29/202.04
  6. Step 6: Final answer
    x = 182.12

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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.