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Finding the Fourth Proportional to 331.32, 499.50 and 313.68

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Solution

The fourth proportional to 331.32, 499.50 and 313.68 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.32 : 499.50 = 313.68 : x
  2. Step 2: Convert to fraction form
    331.32/499.50 = 313.68/x
  3. Step 3: Cross multiply
    331.32x = 499.50 × 313.68
  4. Step 4: Simplify right side
    331.32x = 156,683.16
  5. Step 5: Solve for x
    x = 156,683.16/331.32
  6. Step 6: Final answer
    x = 472.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.