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Finding the Fourth Proportional to 331.24, 456.68 and 213.00

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Solution

The fourth proportional to 331.24, 456.68 and 213.00 is: 293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.24 : 456.68 = 213.00 : x
  2. Step 2: Convert to fraction form
    331.24/456.68 = 213.00/x
  3. Step 3: Cross multiply
    331.24x = 456.68 × 213.00
  4. Step 4: Simplify right side
    331.24x = 97,275.09
  5. Step 5: Solve for x
    x = 97,275.09/331.24
  6. Step 6: Final answer
    x = 293.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.