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Finding the Fourth Proportional to 385.37, 580.35 and 347.30

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Solution

The fourth proportional to 385.37, 580.35 and 347.30 is: 523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.37 : 580.35 = 347.30 : x
  2. Step 2: Convert to fraction form
    385.37/580.35 = 347.30/x
  3. Step 3: Cross multiply
    385.37x = 580.35 × 347.30
  4. Step 4: Simplify right side
    385.37x = 201,553.82
  5. Step 5: Solve for x
    x = 201,553.82/385.37
  6. Step 6: Final answer
    x = 523.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.