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Finding the Fourth Proportional to 359.65, 538.78 and 205.12

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Solution

The fourth proportional to 359.65, 538.78 and 205.12 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.65 : 538.78 = 205.12 : x
  2. Step 2: Convert to fraction form
    359.65/538.78 = 205.12/x
  3. Step 3: Cross multiply
    359.65x = 538.78 × 205.12
  4. Step 4: Simplify right side
    359.65x = 110,514.55
  5. Step 5: Solve for x
    x = 110,514.55/359.65
  6. Step 6: Final answer
    x = 307.28

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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.