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Finding the Fourth Proportional to 259.64, 357.99 and 181.03

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Solution

The fourth proportional to 259.64, 357.99 and 181.03 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 357.99 = 181.03 : x
  2. Step 2: Convert to fraction form
    259.64/357.99 = 181.03/x
  3. Step 3: Cross multiply
    259.64x = 357.99 × 181.03
  4. Step 4: Simplify right side
    259.64x = 64,805.14
  5. Step 5: Solve for x
    x = 64,805.14/259.64
  6. Step 6: Final answer
    x = 249.60

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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.