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Finding the Fourth Proportional to 331.84, 494.48 and 312.64

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Solution

The fourth proportional to 331.84, 494.48 and 312.64 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 494.48 = 312.64 : x
  2. Step 2: Convert to fraction form
    331.84/494.48 = 312.64/x
  3. Step 3: Cross multiply
    331.84x = 494.48 × 312.64
  4. Step 4: Simplify right side
    331.84x = 154,594.23
  5. Step 5: Solve for x
    x = 154,594.23/331.84
  6. Step 6: Final answer
    x = 465.87

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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.