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Finding the Fourth Proportional to 359.64, 539.66 and 197.17

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Solution

The fourth proportional to 359.64, 539.66 and 197.17 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 539.66 = 197.17 : x
  2. Step 2: Convert to fraction form
    359.64/539.66 = 197.17/x
  3. Step 3: Cross multiply
    359.64x = 539.66 × 197.17
  4. Step 4: Simplify right side
    359.64x = 106,403.91
  5. Step 5: Solve for x
    x = 106,403.91/359.64
  6. Step 6: Final answer
    x = 295.86

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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.