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Finding the Fourth Proportional to 416.69, 575.75 and 330.02

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Solution

The fourth proportional to 416.69, 575.75 and 330.02 is: 456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.69 : 575.75 = 330.02 : x
  2. Step 2: Convert to fraction form
    416.69/575.75 = 330.02/x
  3. Step 3: Cross multiply
    416.69x = 575.75 × 330.02
  4. Step 4: Simplify right side
    416.69x = 190,009.02
  5. Step 5: Solve for x
    x = 190,009.02/416.69
  6. Step 6: Final answer
    x = 456.00

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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.