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Finding the Fourth Proportional to 377.64, 568.45 and 321.96

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Solution

The fourth proportional to 377.64, 568.45 and 321.96 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 568.45 = 321.96 : x
  2. Step 2: Convert to fraction form
    377.64/568.45 = 321.96/x
  3. Step 3: Cross multiply
    377.64x = 568.45 × 321.96
  4. Step 4: Simplify right side
    377.64x = 183,018.16
  5. Step 5: Solve for x
    x = 183,018.16/377.64
  6. Step 6: Final answer
    x = 484.64

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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.