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Finding the Fourth Proportional to 336.57, 464.85 and 266.64

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Solution

The fourth proportional to 336.57, 464.85 and 266.64 is: 368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.57 : 464.85 = 266.64 : x
  2. Step 2: Convert to fraction form
    336.57/464.85 = 266.64/x
  3. Step 3: Cross multiply
    336.57x = 464.85 × 266.64
  4. Step 4: Simplify right side
    336.57x = 123,947.60
  5. Step 5: Solve for x
    x = 123,947.60/336.57
  6. Step 6: Final answer
    x = 368.27

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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.