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Finding the Fourth Proportional to 388.44, 580.06 and 339.84

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Solution

The fourth proportional to 388.44, 580.06 and 339.84 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.44 : 580.06 = 339.84 : x
  2. Step 2: Convert to fraction form
    388.44/580.06 = 339.84/x
  3. Step 3: Cross multiply
    388.44x = 580.06 × 339.84
  4. Step 4: Simplify right side
    388.44x = 197,126.74
  5. Step 5: Solve for x
    x = 197,126.74/388.44
  6. Step 6: Final answer
    x = 507.48

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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.