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Finding the Fourth Proportional to 350.86, 526.32 and 196.78

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Solution

The fourth proportional to 350.86, 526.32 and 196.78 is: 295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.86 : 526.32 = 196.78 : x
  2. Step 2: Convert to fraction form
    350.86/526.32 = 196.78/x
  3. Step 3: Cross multiply
    350.86x = 526.32 × 196.78
  4. Step 4: Simplify right side
    350.86x = 103,569.25
  5. Step 5: Solve for x
    x = 103,569.25/350.86
  6. Step 6: Final answer
    x = 295.19

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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.