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Finding the Fourth Proportional to 359.26, 538.98 and 142.90

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Solution

The fourth proportional to 359.26, 538.98 and 142.90 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.26 : 538.98 = 142.90 : x
  2. Step 2: Convert to fraction form
    359.26/538.98 = 142.90/x
  3. Step 3: Cross multiply
    359.26x = 538.98 × 142.90
  4. Step 4: Simplify right side
    359.26x = 77,020.24
  5. Step 5: Solve for x
    x = 77,020.24/359.26
  6. Step 6: Final answer
    x = 214.39

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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.