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Finding the Fourth Proportional to 331.99, 498.75 and 313.54

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Solution

The fourth proportional to 331.99, 498.75 and 313.54 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.99 : 498.75 = 313.54 : x
  2. Step 2: Convert to fraction form
    331.99/498.75 = 313.54/x
  3. Step 3: Cross multiply
    331.99x = 498.75 × 313.54
  4. Step 4: Simplify right side
    331.99x = 156,378.08
  5. Step 5: Solve for x
    x = 156,378.08/331.99
  6. Step 6: Final answer
    x = 471.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.