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Finding the Fourth Proportional to 359.22, 534.59 and 347.54

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Solution

The fourth proportional to 359.22, 534.59 and 347.54 is: 517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.22 : 534.59 = 347.54 : x
  2. Step 2: Convert to fraction form
    359.22/534.59 = 347.54/x
  3. Step 3: Cross multiply
    359.22x = 534.59 × 347.54
  4. Step 4: Simplify right side
    359.22x = 185,791.41
  5. Step 5: Solve for x
    x = 185,791.41/359.22
  6. Step 6: Final answer
    x = 517.21

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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.