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Finding the Fourth Proportional to 347.38, 478.45 and 300.75

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Solution

The fourth proportional to 347.38, 478.45 and 300.75 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.38 : 478.45 = 300.75 : x
  2. Step 2: Convert to fraction form
    347.38/478.45 = 300.75/x
  3. Step 3: Cross multiply
    347.38x = 478.45 × 300.75
  4. Step 4: Simplify right side
    347.38x = 143,893.84
  5. Step 5: Solve for x
    x = 143,893.84/347.38
  6. Step 6: Final answer
    x = 414.23

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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.