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Finding the Fourth Proportional to 331.53, 494.84 and 311.01

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Solution

The fourth proportional to 331.53, 494.84 and 311.01 is: 464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.53 : 494.84 = 311.01 : x
  2. Step 2: Convert to fraction form
    331.53/494.84 = 311.01/x
  3. Step 3: Cross multiply
    331.53x = 494.84 × 311.01
  4. Step 4: Simplify right side
    331.53x = 153,900.19
  5. Step 5: Solve for x
    x = 153,900.19/331.53
  6. Step 6: Final answer
    x = 464.21

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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.