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Finding the Fourth Proportional to 359.80, 538.68 and 272.86

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Solution

The fourth proportional to 359.80, 538.68 and 272.86 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 538.68 = 272.86 : x
  2. Step 2: Convert to fraction form
    359.80/538.68 = 272.86/x
  3. Step 3: Cross multiply
    359.80x = 538.68 × 272.86
  4. Step 4: Simplify right side
    359.80x = 146,984.22
  5. Step 5: Solve for x
    x = 146,984.22/359.80
  6. Step 6: Final answer
    x = 408.52

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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.