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Finding the Fourth Proportional to 264.95, 397.81 and 149.62

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Solution

The fourth proportional to 264.95, 397.81 and 149.62 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.95 : 397.81 = 149.62 : x
  2. Step 2: Convert to fraction form
    264.95/397.81 = 149.62/x
  3. Step 3: Cross multiply
    264.95x = 397.81 × 149.62
  4. Step 4: Simplify right side
    264.95x = 59,520.33
  5. Step 5: Solve for x
    x = 59,520.33/264.95
  6. Step 6: Final answer
    x = 224.65

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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.