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Finding the Fourth Proportional to 202.37, 279.32 and 132.53

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Solution

The fourth proportional to 202.37, 279.32 and 132.53 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.37 : 279.32 = 132.53 : x
  2. Step 2: Convert to fraction form
    202.37/279.32 = 132.53/x
  3. Step 3: Cross multiply
    202.37x = 279.32 × 132.53
  4. Step 4: Simplify right side
    202.37x = 37,016.22
  5. Step 5: Solve for x
    x = 37,016.22/202.37
  6. Step 6: Final answer
    x = 182.92

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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.