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Finding the Fourth Proportional to 336.32, 464.06 and 194.52

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Solution

The fourth proportional to 336.32, 464.06 and 194.52 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.32 : 464.06 = 194.52 : x
  2. Step 2: Convert to fraction form
    336.32/464.06 = 194.52/x
  3. Step 3: Cross multiply
    336.32x = 464.06 × 194.52
  4. Step 4: Simplify right side
    336.32x = 90,268.95
  5. Step 5: Solve for x
    x = 90,268.95/336.32
  6. Step 6: Final answer
    x = 268.40

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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.