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Finding the Fourth Proportional to 330.78, 456.56 and 264.48

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Solution

The fourth proportional to 330.78, 456.56 and 264.48 is: 365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 456.56 = 264.48 : x
  2. Step 2: Convert to fraction form
    330.78/456.56 = 264.48/x
  3. Step 3: Cross multiply
    330.78x = 456.56 × 264.48
  4. Step 4: Simplify right side
    330.78x = 120,750.99
  5. Step 5: Solve for x
    x = 120,750.99/330.78
  6. Step 6: Final answer
    x = 365.05

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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.