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Finding the Fourth Proportional to 359.97, 539.63 and 174.77

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Solution

The fourth proportional to 359.97, 539.63 and 174.77 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.97 : 539.63 = 174.77 : x
  2. Step 2: Convert to fraction form
    359.97/539.63 = 174.77/x
  3. Step 3: Cross multiply
    359.97x = 539.63 × 174.77
  4. Step 4: Simplify right side
    359.97x = 94,307.56
  5. Step 5: Solve for x
    x = 94,307.56/359.97
  6. Step 6: Final answer
    x = 261.99

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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.