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Finding the Fourth Proportional to 334.75, 503.07 and 197.86

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Solution

The fourth proportional to 334.75, 503.07 and 197.86 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 503.07 = 197.86 : x
  2. Step 2: Convert to fraction form
    334.75/503.07 = 197.86/x
  3. Step 3: Cross multiply
    334.75x = 503.07 × 197.86
  4. Step 4: Simplify right side
    334.75x = 99,537.43
  5. Step 5: Solve for x
    x = 99,537.43/334.75
  6. Step 6: Final answer
    x = 297.35

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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.