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Finding the Fourth Proportional to 388.77, 580.46 and 349.90

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Solution

The fourth proportional to 388.77, 580.46 and 349.90 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.77 : 580.46 = 349.90 : x
  2. Step 2: Convert to fraction form
    388.77/580.46 = 349.90/x
  3. Step 3: Cross multiply
    388.77x = 580.46 × 349.90
  4. Step 4: Simplify right side
    388.77x = 203,102.95
  5. Step 5: Solve for x
    x = 203,102.95/388.77
  6. Step 6: Final answer
    x = 522.42

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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.