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Finding the Fourth Proportional to 350.57, 525.79 and 145.16

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Solution

The fourth proportional to 350.57, 525.79 and 145.16 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.57 : 525.79 = 145.16 : x
  2. Step 2: Convert to fraction form
    350.57/525.79 = 145.16/x
  3. Step 3: Cross multiply
    350.57x = 525.79 × 145.16
  4. Step 4: Simplify right side
    350.57x = 76,323.68
  5. Step 5: Solve for x
    x = 76,323.68/350.57
  6. Step 6: Final answer
    x = 217.71

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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.