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Finding the Fourth Proportional to 347.06, 517.74 and 321.26

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Solution

The fourth proportional to 347.06, 517.74 and 321.26 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 517.74 = 321.26 : x
  2. Step 2: Convert to fraction form
    347.06/517.74 = 321.26/x
  3. Step 3: Cross multiply
    347.06x = 517.74 × 321.26
  4. Step 4: Simplify right side
    347.06x = 166,329.15
  5. Step 5: Solve for x
    x = 166,329.15/347.06
  6. Step 6: Final answer
    x = 479.25

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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.