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Finding the Fourth Proportional to 468.08, 646.03 and 308.51

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Solution

The fourth proportional to 468.08, 646.03 and 308.51 is: 425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 646.03 = 308.51 : x
  2. Step 2: Convert to fraction form
    468.08/646.03 = 308.51/x
  3. Step 3: Cross multiply
    468.08x = 646.03 × 308.51
  4. Step 4: Simplify right side
    468.08x = 199,304.56
  5. Step 5: Solve for x
    x = 199,304.56/468.08
  6. Step 6: Final answer
    x = 425.79

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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.