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Finding the Fourth Proportional to 392.78, 583.88 and 381.13

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Solution

The fourth proportional to 392.78, 583.88 and 381.13 is: 566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.78 : 583.88 = 381.13 : x
  2. Step 2: Convert to fraction form
    392.78/583.88 = 381.13/x
  3. Step 3: Cross multiply
    392.78x = 583.88 × 381.13
  4. Step 4: Simplify right side
    392.78x = 222,534.18
  5. Step 5: Solve for x
    x = 222,534.18/392.78
  6. Step 6: Final answer
    x = 566.56

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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.