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Finding the Fourth Proportional to 336.17, 464.05 and 289.35

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Solution

The fourth proportional to 336.17, 464.05 and 289.35 is: 399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.17 : 464.05 = 289.35 : x
  2. Step 2: Convert to fraction form
    336.17/464.05 = 289.35/x
  3. Step 3: Cross multiply
    336.17x = 464.05 × 289.35
  4. Step 4: Simplify right side
    336.17x = 134,272.87
  5. Step 5: Solve for x
    x = 134,272.87/336.17
  6. Step 6: Final answer
    x = 399.42

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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.