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Finding the Fourth Proportional to 330.40, 455.52 and 241.84

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Solution

The fourth proportional to 330.40, 455.52 and 241.84 is: 333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.40 : 455.52 = 241.84 : x
  2. Step 2: Convert to fraction form
    330.40/455.52 = 241.84/x
  3. Step 3: Cross multiply
    330.40x = 455.52 × 241.84
  4. Step 4: Simplify right side
    330.40x = 110,162.96
  5. Step 5: Solve for x
    x = 110,162.96/330.40
  6. Step 6: Final answer
    x = 333.42

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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.