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Finding the Fourth Proportional to 264.42, 396.62 and 69.42

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Solution

The fourth proportional to 264.42, 396.62 and 69.42 is: 104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.42 : 396.62 = 69.42 : x
  2. Step 2: Convert to fraction form
    264.42/396.62 = 69.42/x
  3. Step 3: Cross multiply
    264.42x = 396.62 × 69.42
  4. Step 4: Simplify right side
    264.42x = 27,533.01
  5. Step 5: Solve for x
    x = 27,533.01/264.42
  6. Step 6: Final answer
    x = 104.13

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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.