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Finding the Fourth Proportional to 376.96, 564.96 and 248.96

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Solution

The fourth proportional to 376.96, 564.96 and 248.96 is: 373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.96 : 564.96 = 248.96 : x
  2. Step 2: Convert to fraction form
    376.96/564.96 = 248.96/x
  3. Step 3: Cross multiply
    376.96x = 564.96 × 248.96
  4. Step 4: Simplify right side
    376.96x = 140,652.44
  5. Step 5: Solve for x
    x = 140,652.44/376.96
  6. Step 6: Final answer
    x = 373.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.