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Finding the Fourth Proportional to 388.42, 578.88 and 385.19

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Solution

The fourth proportional to 388.42, 578.88 and 385.19 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.42 : 578.88 = 385.19 : x
  2. Step 2: Convert to fraction form
    388.42/578.88 = 385.19/x
  3. Step 3: Cross multiply
    388.42x = 578.88 × 385.19
  4. Step 4: Simplify right side
    388.42x = 222,973.97
  5. Step 5: Solve for x
    x = 222,973.97/388.42
  6. Step 6: Final answer
    x = 574.06

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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.