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Finding the Fourth Proportional to 389.01, 580.05 and 347.97

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Solution

The fourth proportional to 389.01, 580.05 and 347.97 is: 518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 580.05 = 347.97 : x
  2. Step 2: Convert to fraction form
    389.01/580.05 = 347.97/x
  3. Step 3: Cross multiply
    389.01x = 580.05 × 347.97
  4. Step 4: Simplify right side
    389.01x = 201,840.00
  5. Step 5: Solve for x
    x = 201,840.00/389.01
  6. Step 6: Final answer
    x = 518.86

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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.