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Finding the Fourth Proportional to 388.06, 579.82 and 283.44

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Solution

The fourth proportional to 388.06, 579.82 and 283.44 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 579.82 = 283.44 : x
  2. Step 2: Convert to fraction form
    388.06/579.82 = 283.44/x
  3. Step 3: Cross multiply
    388.06x = 579.82 × 283.44
  4. Step 4: Simplify right side
    388.06x = 164,344.18
  5. Step 5: Solve for x
    x = 164,344.18/388.06
  6. Step 6: Final answer
    x = 423.50

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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.