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Finding the Fourth Proportional to 336.86, 464.93 and 197.06

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Solution

The fourth proportional to 336.86, 464.93 and 197.06 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.86 : 464.93 = 197.06 : x
  2. Step 2: Convert to fraction form
    336.86/464.93 = 197.06/x
  3. Step 3: Cross multiply
    336.86x = 464.93 × 197.06
  4. Step 4: Simplify right side
    336.86x = 91,620.76
  5. Step 5: Solve for x
    x = 91,620.76/336.86
  6. Step 6: Final answer
    x = 271.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.