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Finding the Fourth Proportional to 359.25, 539.42 and 346.16

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Solution

The fourth proportional to 359.25, 539.42 and 346.16 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.25 : 539.42 = 346.16 : x
  2. Step 2: Convert to fraction form
    359.25/539.42 = 346.16/x
  3. Step 3: Cross multiply
    359.25x = 539.42 × 346.16
  4. Step 4: Simplify right side
    359.25x = 186,721.20
  5. Step 5: Solve for x
    x = 186,721.20/359.25
  6. Step 6: Final answer
    x = 519.75

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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.