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Finding the Fourth Proportional to 412.51, 617.94 and 238.67

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Solution

The fourth proportional to 412.51, 617.94 and 238.67 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.51 : 617.94 = 238.67 : x
  2. Step 2: Convert to fraction form
    412.51/617.94 = 238.67/x
  3. Step 3: Cross multiply
    412.51x = 617.94 × 238.67
  4. Step 4: Simplify right side
    412.51x = 147,483.74
  5. Step 5: Solve for x
    x = 147,483.74/412.51
  6. Step 6: Final answer
    x = 357.53

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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.