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Finding the Fourth Proportional to 350.82, 525.02 and 259.29

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Solution

The fourth proportional to 350.82, 525.02 and 259.29 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 525.02 = 259.29 : x
  2. Step 2: Convert to fraction form
    350.82/525.02 = 259.29/x
  3. Step 3: Cross multiply
    350.82x = 525.02 × 259.29
  4. Step 4: Simplify right side
    350.82x = 136,131.14
  5. Step 5: Solve for x
    x = 136,131.14/350.82
  6. Step 6: Final answer
    x = 388.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.