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Finding the Fourth Proportional to 347.15, 477.07 and 331.09

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Solution

The fourth proportional to 347.15, 477.07 and 331.09 is: 455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.15 : 477.07 = 331.09 : x
  2. Step 2: Convert to fraction form
    347.15/477.07 = 331.09/x
  3. Step 3: Cross multiply
    347.15x = 477.07 × 331.09
  4. Step 4: Simplify right side
    347.15x = 157,952.87
  5. Step 5: Solve for x
    x = 157,952.87/347.15
  6. Step 6: Final answer
    x = 455.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.