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Finding the Fourth Proportional to 384.93, 574.38 and 344.07

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Solution

The fourth proportional to 384.93, 574.38 and 344.07 is: 513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.93 : 574.38 = 344.07 : x
  2. Step 2: Convert to fraction form
    384.93/574.38 = 344.07/x
  3. Step 3: Cross multiply
    384.93x = 574.38 × 344.07
  4. Step 4: Simplify right side
    384.93x = 197,626.93
  5. Step 5: Solve for x
    x = 197,626.93/384.93
  6. Step 6: Final answer
    x = 513.41

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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.