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Finding the Fourth Proportional to 347.45, 478.08 and 300.69

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Solution

The fourth proportional to 347.45, 478.08 and 300.69 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.45 : 478.08 = 300.69 : x
  2. Step 2: Convert to fraction form
    347.45/478.08 = 300.69/x
  3. Step 3: Cross multiply
    347.45x = 478.08 × 300.69
  4. Step 4: Simplify right side
    347.45x = 143,753.88
  5. Step 5: Solve for x
    x = 143,753.88/347.45
  6. Step 6: Final answer
    x = 413.75

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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.