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Finding the Fourth Proportional to 264.65, 396.41 and 136.13

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Solution

The fourth proportional to 264.65, 396.41 and 136.13 is: 203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.65 : 396.41 = 136.13 : x
  2. Step 2: Convert to fraction form
    264.65/396.41 = 136.13/x
  3. Step 3: Cross multiply
    264.65x = 396.41 × 136.13
  4. Step 4: Simplify right side
    264.65x = 53,960.63
  5. Step 5: Solve for x
    x = 53,960.63/264.65
  6. Step 6: Final answer
    x = 203.90

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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.