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Finding the Fourth Proportional to 392.84, 544.49 and 370.06

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Solution

The fourth proportional to 392.84, 544.49 and 370.06 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 544.49 = 370.06 : x
  2. Step 2: Convert to fraction form
    392.84/544.49 = 370.06/x
  3. Step 3: Cross multiply
    392.84x = 544.49 × 370.06
  4. Step 4: Simplify right side
    392.84x = 201,493.97
  5. Step 5: Solve for x
    x = 201,493.97/392.84
  6. Step 6: Final answer
    x = 512.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.