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Finding the Fourth Proportional to 376.72, 564.52 and 285.28

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Solution

The fourth proportional to 376.72, 564.52 and 285.28 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.72 : 564.52 = 285.28 : x
  2. Step 2: Convert to fraction form
    376.72/564.52 = 285.28/x
  3. Step 3: Cross multiply
    376.72x = 564.52 × 285.28
  4. Step 4: Simplify right side
    376.72x = 161,046.27
  5. Step 5: Solve for x
    x = 161,046.27/376.72
  6. Step 6: Final answer
    x = 427.50

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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.