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Finding the Fourth Proportional to 331.35, 493.64 and 319.74

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Solution

The fourth proportional to 331.35, 493.64 and 319.74 is: 476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.35 : 493.64 = 319.74 : x
  2. Step 2: Convert to fraction form
    331.35/493.64 = 319.74/x
  3. Step 3: Cross multiply
    331.35x = 493.64 × 319.74
  4. Step 4: Simplify right side
    331.35x = 157,834.85
  5. Step 5: Solve for x
    x = 157,834.85/331.35
  6. Step 6: Final answer
    x = 476.34

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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.