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Finding the Fourth Proportional to 264.94, 397.22 and 120.58

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Solution

The fourth proportional to 264.94, 397.22 and 120.58 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 397.22 = 120.58 : x
  2. Step 2: Convert to fraction form
    264.94/397.22 = 120.58/x
  3. Step 3: Cross multiply
    264.94x = 397.22 × 120.58
  4. Step 4: Simplify right side
    264.94x = 47,896.79
  5. Step 5: Solve for x
    x = 47,896.79/264.94
  6. Step 6: Final answer
    x = 180.78

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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.