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Finding the Fourth Proportional to 376.96, 563.28 and 287.42

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Solution

The fourth proportional to 376.96, 563.28 and 287.42 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.96 : 563.28 = 287.42 : x
  2. Step 2: Convert to fraction form
    376.96/563.28 = 287.42/x
  3. Step 3: Cross multiply
    376.96x = 563.28 × 287.42
  4. Step 4: Simplify right side
    376.96x = 161,895.81
  5. Step 5: Solve for x
    x = 161,895.81/376.96
  6. Step 6: Final answer
    x = 429.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.