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Finding the Fourth Proportional to 394.07, 586.57 and 388.22

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Solution

The fourth proportional to 394.07, 586.57 and 388.22 is: 577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.07 : 586.57 = 388.22 : x
  2. Step 2: Convert to fraction form
    394.07/586.57 = 388.22/x
  3. Step 3: Cross multiply
    394.07x = 586.57 × 388.22
  4. Step 4: Simplify right side
    394.07x = 227,715.59
  5. Step 5: Solve for x
    x = 227,715.59/394.07
  6. Step 6: Final answer
    x = 577.86

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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.