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Finding the Fourth Proportional to 359.46, 535.59 and 343.73

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Solution

The fourth proportional to 359.46, 535.59 and 343.73 is: 512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 535.59 = 343.73 : x
  2. Step 2: Convert to fraction form
    359.46/535.59 = 343.73/x
  3. Step 3: Cross multiply
    359.46x = 535.59 × 343.73
  4. Step 4: Simplify right side
    359.46x = 184,098.35
  5. Step 5: Solve for x
    x = 184,098.35/359.46
  6. Step 6: Final answer
    x = 512.15

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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.