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Finding the Fourth Proportional to 332.44, 458.90 and 216.34

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Solution

The fourth proportional to 332.44, 458.90 and 216.34 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 458.90 = 216.34 : x
  2. Step 2: Convert to fraction form
    332.44/458.90 = 216.34/x
  3. Step 3: Cross multiply
    332.44x = 458.90 × 216.34
  4. Step 4: Simplify right side
    332.44x = 99,277.01
  5. Step 5: Solve for x
    x = 99,277.01/332.44
  6. Step 6: Final answer
    x = 298.63

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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.