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Finding the Fourth Proportional to 330.78, 496.28 and 148.18

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Solution

The fourth proportional to 330.78, 496.28 and 148.18 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 496.28 = 148.18 : x
  2. Step 2: Convert to fraction form
    330.78/496.28 = 148.18/x
  3. Step 3: Cross multiply
    330.78x = 496.28 × 148.18
  4. Step 4: Simplify right side
    330.78x = 73,538.00
  5. Step 5: Solve for x
    x = 73,538.00/330.78
  6. Step 6: Final answer
    x = 222.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.