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Finding the Fourth Proportional to 330.21, 455.76 and 190.35

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Solution

The fourth proportional to 330.21, 455.76 and 190.35 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.21 : 455.76 = 190.35 : x
  2. Step 2: Convert to fraction form
    330.21/455.76 = 190.35/x
  3. Step 3: Cross multiply
    330.21x = 455.76 × 190.35
  4. Step 4: Simplify right side
    330.21x = 86,753.92
  5. Step 5: Solve for x
    x = 86,753.92/330.21
  6. Step 6: Final answer
    x = 262.72

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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.