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Finding the Fourth Proportional to 359.49, 539.28 and 142.95

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Solution

The fourth proportional to 359.49, 539.28 and 142.95 is: 214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.49 : 539.28 = 142.95 : x
  2. Step 2: Convert to fraction form
    359.49/539.28 = 142.95/x
  3. Step 3: Cross multiply
    359.49x = 539.28 × 142.95
  4. Step 4: Simplify right side
    359.49x = 77,090.08
  5. Step 5: Solve for x
    x = 77,090.08/359.49
  6. Step 6: Final answer
    x = 214.44

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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.