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Finding the Fourth Proportional to 412.69, 617.24 and 238.93

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Solution

The fourth proportional to 412.69, 617.24 and 238.93 is: 357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 617.24 = 238.93 : x
  2. Step 2: Convert to fraction form
    412.69/617.24 = 238.93/x
  3. Step 3: Cross multiply
    412.69x = 617.24 × 238.93
  4. Step 4: Simplify right side
    412.69x = 147,474.07
  5. Step 5: Solve for x
    x = 147,474.07/412.69
  6. Step 6: Final answer
    x = 357.35

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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.