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Finding the Fourth Proportional to 359.65, 538.42 and 273.33

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Solution

The fourth proportional to 359.65, 538.42 and 273.33 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.65 : 538.42 = 273.33 : x
  2. Step 2: Convert to fraction form
    359.65/538.42 = 273.33/x
  3. Step 3: Cross multiply
    359.65x = 538.42 × 273.33
  4. Step 4: Simplify right side
    359.65x = 147,166.34
  5. Step 5: Solve for x
    x = 147,166.34/359.65
  6. Step 6: Final answer
    x = 409.19

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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.