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Finding the Fourth Proportional to 331.72, 495.26 and 298.91

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Solution

The fourth proportional to 331.72, 495.26 and 298.91 is: 446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.72 : 495.26 = 298.91 : x
  2. Step 2: Convert to fraction form
    331.72/495.26 = 298.91/x
  3. Step 3: Cross multiply
    331.72x = 495.26 × 298.91
  4. Step 4: Simplify right side
    331.72x = 148,038.17
  5. Step 5: Solve for x
    x = 148,038.17/331.72
  6. Step 6: Final answer
    x = 446.27

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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.