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Finding the Fourth Proportional to 496.32, 685.50 and 330.25

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Solution

The fourth proportional to 496.32, 685.50 and 330.25 is: 456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.32 : 685.50 = 330.25 : x
  2. Step 2: Convert to fraction form
    496.32/685.50 = 330.25/x
  3. Step 3: Cross multiply
    496.32x = 685.50 × 330.25
  4. Step 4: Simplify right side
    496.32x = 226,386.38
  5. Step 5: Solve for x
    x = 226,386.38/496.32
  6. Step 6: Final answer
    x = 456.13

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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.