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Finding the Fourth Proportional to 388.70, 580.01 and 347.68

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Solution

The fourth proportional to 388.70, 580.01 and 347.68 is: 518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.70 : 580.01 = 347.68 : x
  2. Step 2: Convert to fraction form
    388.70/580.01 = 347.68/x
  3. Step 3: Cross multiply
    388.70x = 580.01 × 347.68
  4. Step 4: Simplify right side
    388.70x = 201,657.88
  5. Step 5: Solve for x
    x = 201,657.88/388.70
  6. Step 6: Final answer
    x = 518.80

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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.