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Finding the Fourth Proportional to 336.68, 464.46 and 288.08

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Solution

The fourth proportional to 336.68, 464.46 and 288.08 is: 397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.68 : 464.46 = 288.08 : x
  2. Step 2: Convert to fraction form
    336.68/464.46 = 288.08/x
  3. Step 3: Cross multiply
    336.68x = 464.46 × 288.08
  4. Step 4: Simplify right side
    336.68x = 133,801.64
  5. Step 5: Solve for x
    x = 133,801.64/336.68
  6. Step 6: Final answer
    x = 397.41

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