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Finding the Fourth Proportional to 350.10, 525.42 and 268.74

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Solution

The fourth proportional to 350.10, 525.42 and 268.74 is: 403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.10 : 525.42 = 268.74 : x
  2. Step 2: Convert to fraction form
    350.10/525.42 = 268.74/x
  3. Step 3: Cross multiply
    350.10x = 525.42 × 268.74
  4. Step 4: Simplify right side
    350.10x = 141,201.37
  5. Step 5: Solve for x
    x = 141,201.37/350.10
  6. Step 6: Final answer
    x = 403.32

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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.