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Finding the Fourth Proportional to 359.89, 539.50 and 140.66

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Solution

The fourth proportional to 359.89, 539.50 and 140.66 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.89 : 539.50 = 140.66 : x
  2. Step 2: Convert to fraction form
    359.89/539.50 = 140.66/x
  3. Step 3: Cross multiply
    359.89x = 539.50 × 140.66
  4. Step 4: Simplify right side
    359.89x = 75,886.07
  5. Step 5: Solve for x
    x = 75,886.07/359.89
  6. Step 6: Final answer
    x = 210.86

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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.