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Finding the Fourth Proportional to 359.49, 535.65 and 344.28

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Solution

The fourth proportional to 359.49, 535.65 and 344.28 is: 512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.49 : 535.65 = 344.28 : x
  2. Step 2: Convert to fraction form
    359.49/535.65 = 344.28/x
  3. Step 3: Cross multiply
    359.49x = 535.65 × 344.28
  4. Step 4: Simplify right side
    359.49x = 184,413.58
  5. Step 5: Solve for x
    x = 184,413.58/359.49
  6. Step 6: Final answer
    x = 512.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.