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Finding the Fourth Proportional to 359.30, 538.96 and 243.48

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Solution

The fourth proportional to 359.30, 538.96 and 243.48 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.30 : 538.96 = 243.48 : x
  2. Step 2: Convert to fraction form
    359.30/538.96 = 243.48/x
  3. Step 3: Cross multiply
    359.30x = 538.96 × 243.48
  4. Step 4: Simplify right side
    359.30x = 131,225.98
  5. Step 5: Solve for x
    x = 131,225.98/359.30
  6. Step 6: Final answer
    x = 365.23

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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.