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Finding the Fourth Proportional to 408.95, 613 and 162.06

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Solution

The fourth proportional to 408.95, 613 and 162.06 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.95 : 613 = 162.06 : x
  2. Step 2: Convert to fraction form
    408.95/613 = 162.06/x
  3. Step 3: Cross multiply
    408.95x = 613 × 162.06
  4. Step 4: Simplify right side
    408.95x = 99,342.78
  5. Step 5: Solve for x
    x = 99,342.78/408.95
  6. Step 6: Final answer
    x = 242.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.