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Finding the Fourth Proportional to 264.55, 396.78 and 161.81

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Solution

The fourth proportional to 264.55, 396.78 and 161.81 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.55 : 396.78 = 161.81 : x
  2. Step 2: Convert to fraction form
    264.55/396.78 = 161.81/x
  3. Step 3: Cross multiply
    264.55x = 396.78 × 161.81
  4. Step 4: Simplify right side
    264.55x = 64,203.36
  5. Step 5: Solve for x
    x = 64,203.36/264.55
  6. Step 6: Final answer
    x = 242.69

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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.