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Finding the Fourth Proportional to 264.64, 396.72 and 120.40

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Solution

The fourth proportional to 264.64, 396.72 and 120.40 is: 180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 396.72 = 120.40 : x
  2. Step 2: Convert to fraction form
    264.64/396.72 = 120.40/x
  3. Step 3: Cross multiply
    264.64x = 396.72 × 120.40
  4. Step 4: Simplify right side
    264.64x = 47,765.09
  5. Step 5: Solve for x
    x = 47,765.09/264.64
  6. Step 6: Final answer
    x = 180.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.