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Finding the Fourth Proportional to 336.54, 464.40 and 189.15

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Solution

The fourth proportional to 336.54, 464.40 and 189.15 is: 261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.54 : 464.40 = 189.15 : x
  2. Step 2: Convert to fraction form
    336.54/464.40 = 189.15/x
  3. Step 3: Cross multiply
    336.54x = 464.40 × 189.15
  4. Step 4: Simplify right side
    336.54x = 87,838.94
  5. Step 5: Solve for x
    x = 87,838.94/336.54
  6. Step 6: Final answer
    x = 261.01

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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.