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Finding the Fourth Proportional to 482.14, 722.79 and 193.39

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Solution

The fourth proportional to 482.14, 722.79 and 193.39 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 722.79 = 193.39 : x
  2. Step 2: Convert to fraction form
    482.14/722.79 = 193.39/x
  3. Step 3: Cross multiply
    482.14x = 722.79 × 193.39
  4. Step 4: Simplify right side
    482.14x = 139,780.36
  5. Step 5: Solve for x
    x = 139,780.36/482.14
  6. Step 6: Final answer
    x = 289.92

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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.