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Finding the Fourth Proportional to 331.16, 495.72 and 285.56

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Solution

The fourth proportional to 331.16, 495.72 and 285.56 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.16 : 495.72 = 285.56 : x
  2. Step 2: Convert to fraction form
    331.16/495.72 = 285.56/x
  3. Step 3: Cross multiply
    331.16x = 495.72 × 285.56
  4. Step 4: Simplify right side
    331.16x = 141,557.80
  5. Step 5: Solve for x
    x = 141,557.80/331.16
  6. Step 6: Final answer
    x = 427.46

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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.