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Finding the Fourth Proportional to 359.34, 540.96 and 251.88

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Solution

The fourth proportional to 359.34, 540.96 and 251.88 is: 379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.34 : 540.96 = 251.88 : x
  2. Step 2: Convert to fraction form
    359.34/540.96 = 251.88/x
  3. Step 3: Cross multiply
    359.34x = 540.96 × 251.88
  4. Step 4: Simplify right side
    359.34x = 136,257.00
  5. Step 5: Solve for x
    x = 136,257.00/359.34
  6. Step 6: Final answer
    x = 379.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.