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Finding the Fourth Proportional to 336.83, 464.81 and 187.44

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Solution

The fourth proportional to 336.83, 464.81 and 187.44 is: 258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.83 : 464.81 = 187.44 : x
  2. Step 2: Convert to fraction form
    336.83/464.81 = 187.44/x
  3. Step 3: Cross multiply
    336.83x = 464.81 × 187.44
  4. Step 4: Simplify right side
    336.83x = 87,123.05
  5. Step 5: Solve for x
    x = 87,123.05/336.83
  6. Step 6: Final answer
    x = 258.66

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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.