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Finding the Fourth Proportional to 482.68, 722.94 and 238.67

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Solution

The fourth proportional to 482.68, 722.94 and 238.67 is: 357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 722.94 = 238.67 : x
  2. Step 2: Convert to fraction form
    482.68/722.94 = 238.67/x
  3. Step 3: Cross multiply
    482.68x = 722.94 × 238.67
  4. Step 4: Simplify right side
    482.68x = 172,544.09
  5. Step 5: Solve for x
    x = 172,544.09/482.68
  6. Step 6: Final answer
    x = 357.47

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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.