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Finding the Fourth Proportional to 446.30, 616 and 278.36

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Solution

The fourth proportional to 446.30, 616 and 278.36 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.30 : 616 = 278.36 : x
  2. Step 2: Convert to fraction form
    446.30/616 = 278.36/x
  3. Step 3: Cross multiply
    446.30x = 616 × 278.36
  4. Step 4: Simplify right side
    446.30x = 171,469.76
  5. Step 5: Solve for x
    x = 171,469.76/446.30
  6. Step 6: Final answer
    x = 384.20

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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.