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Finding the Fourth Proportional to 468.88, 646.90 and 303.31

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Solution

The fourth proportional to 468.88, 646.90 and 303.31 is: 418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 646.90 = 303.31 : x
  2. Step 2: Convert to fraction form
    468.88/646.90 = 303.31/x
  3. Step 3: Cross multiply
    468.88x = 646.90 × 303.31
  4. Step 4: Simplify right side
    468.88x = 196,208.00
  5. Step 5: Solve for x
    x = 196,208.00/468.88
  6. Step 6: Final answer
    x = 418.46

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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.