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Finding the Fourth Proportional to 359.93, 539.70 and 174.77

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Solution

The fourth proportional to 359.93, 539.70 and 174.77 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.93 : 539.70 = 174.77 : x
  2. Step 2: Convert to fraction form
    359.93/539.70 = 174.77/x
  3. Step 3: Cross multiply
    359.93x = 539.70 × 174.77
  4. Step 4: Simplify right side
    359.93x = 94,323.81
  5. Step 5: Solve for x
    x = 94,323.81/359.93
  6. Step 6: Final answer
    x = 262.06

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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.