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Finding the Fourth Proportional to 482.57, 722.31 and 251.14

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Solution

The fourth proportional to 482.57, 722.31 and 251.14 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.57 : 722.31 = 251.14 : x
  2. Step 2: Convert to fraction form
    482.57/722.31 = 251.14/x
  3. Step 3: Cross multiply
    482.57x = 722.31 × 251.14
  4. Step 4: Simplify right side
    482.57x = 181,400.93
  5. Step 5: Solve for x
    x = 181,400.93/482.57
  6. Step 6: Final answer
    x = 375.91

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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.