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Finding the Fourth Proportional to 377.72, 568.61 and 270.26

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Solution

The fourth proportional to 377.72, 568.61 and 270.26 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.72 : 568.61 = 270.26 : x
  2. Step 2: Convert to fraction form
    377.72/568.61 = 270.26/x
  3. Step 3: Cross multiply
    377.72x = 568.61 × 270.26
  4. Step 4: Simplify right side
    377.72x = 153,670.37
  5. Step 5: Solve for x
    x = 153,670.37/377.72
  6. Step 6: Final answer
    x = 406.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.