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Finding the Fourth Proportional to 388.28, 538.22 and 374.84

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Solution

The fourth proportional to 388.28, 538.22 and 374.84 is: 519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.28 : 538.22 = 374.84 : x
  2. Step 2: Convert to fraction form
    388.28/538.22 = 374.84/x
  3. Step 3: Cross multiply
    388.28x = 538.22 × 374.84
  4. Step 4: Simplify right side
    388.28x = 201,746.38
  5. Step 5: Solve for x
    x = 201,746.38/388.28
  6. Step 6: Final answer
    x = 519.59

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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.