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Finding the Fourth Proportional to 332.43, 458.78 and 216.15

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Solution

The fourth proportional to 332.43, 458.78 and 216.15 is: 298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.43 : 458.78 = 216.15 : x
  2. Step 2: Convert to fraction form
    332.43/458.78 = 216.15/x
  3. Step 3: Cross multiply
    332.43x = 458.78 × 216.15
  4. Step 4: Simplify right side
    332.43x = 99,164.22
  5. Step 5: Solve for x
    x = 99,164.22/332.43
  6. Step 6: Final answer
    x = 298.30

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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.