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Finding the Fourth Proportional to 330.01, 454.07 and 270.78

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Solution

The fourth proportional to 330.01, 454.07 and 270.78 is: 372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.01 : 454.07 = 270.78 : x
  2. Step 2: Convert to fraction form
    330.01/454.07 = 270.78/x
  3. Step 3: Cross multiply
    330.01x = 454.07 × 270.78
  4. Step 4: Simplify right side
    330.01x = 122,953.07
  5. Step 5: Solve for x
    x = 122,953.07/330.01
  6. Step 6: Final answer
    x = 372.57

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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.