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Finding the Fourth Proportional to 359.70, 538.11 and 251.70

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Solution

The fourth proportional to 359.70, 538.11 and 251.70 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 538.11 = 251.70 : x
  2. Step 2: Convert to fraction form
    359.70/538.11 = 251.70/x
  3. Step 3: Cross multiply
    359.70x = 538.11 × 251.70
  4. Step 4: Simplify right side
    359.70x = 135,442.29
  5. Step 5: Solve for x
    x = 135,442.29/359.70
  6. Step 6: Final answer
    x = 376.54

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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.