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Finding the Fourth Proportional to 446, 615.50 and 249.50

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Solution

The fourth proportional to 446, 615.50 and 249.50 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 615.50 = 249.50 : x
  2. Step 2: Convert to fraction form
    446/615.50 = 249.50/x
  3. Step 3: Cross multiply
    446x = 615.50 × 249.50
  4. Step 4: Simplify right side
    446x = 153,567.25
  5. Step 5: Solve for x
    x = 153,567.25/446
  6. Step 6: Final answer
    x = 344.32

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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.