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Finding the Fourth Proportional to 379.40, 522.80 and 305.42

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Solution

The fourth proportional to 379.40, 522.80 and 305.42 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.40 : 522.80 = 305.42 : x
  2. Step 2: Convert to fraction form
    379.40/522.80 = 305.42/x
  3. Step 3: Cross multiply
    379.40x = 522.80 × 305.42
  4. Step 4: Simplify right side
    379.40x = 159,673.58
  5. Step 5: Solve for x
    x = 159,673.58/379.40
  6. Step 6: Final answer
    x = 420.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.