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Finding the Fourth Proportional to 330.21, 454.95 and 268.02

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Solution

The fourth proportional to 330.21, 454.95 and 268.02 is: 369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.21 : 454.95 = 268.02 : x
  2. Step 2: Convert to fraction form
    330.21/454.95 = 268.02/x
  3. Step 3: Cross multiply
    330.21x = 454.95 × 268.02
  4. Step 4: Simplify right side
    330.21x = 121,935.70
  5. Step 5: Solve for x
    x = 121,935.70/330.21
  6. Step 6: Final answer
    x = 369.27

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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.