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Finding the Fourth Proportional to 347.22, 478.04 and 301.19

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Solution

The fourth proportional to 347.22, 478.04 and 301.19 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.22 : 478.04 = 301.19 : x
  2. Step 2: Convert to fraction form
    347.22/478.04 = 301.19/x
  3. Step 3: Cross multiply
    347.22x = 478.04 × 301.19
  4. Step 4: Simplify right side
    347.22x = 143,976.97
  5. Step 5: Solve for x
    x = 143,976.97/347.22
  6. Step 6: Final answer
    x = 414.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.