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Finding the Fourth Proportional to 180.53, 249.01 and 131.32

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Solution

The fourth proportional to 180.53, 249.01 and 131.32 is: 181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 249.01 = 131.32 : x
  2. Step 2: Convert to fraction form
    180.53/249.01 = 131.32/x
  3. Step 3: Cross multiply
    180.53x = 249.01 × 131.32
  4. Step 4: Simplify right side
    180.53x = 32,699.98
  5. Step 5: Solve for x
    x = 32,699.98/180.53
  6. Step 6: Final answer
    x = 181.13

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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.