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Finding the Fourth Proportional to 330.36, 455.13 and 275.01

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Solution

The fourth proportional to 330.36, 455.13 and 275.01 is: 378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 455.13 = 275.01 : x
  2. Step 2: Convert to fraction form
    330.36/455.13 = 275.01/x
  3. Step 3: Cross multiply
    330.36x = 455.13 × 275.01
  4. Step 4: Simplify right side
    330.36x = 125,165.30
  5. Step 5: Solve for x
    x = 125,165.30/330.36
  6. Step 6: Final answer
    x = 378.88

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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.