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Finding the Fourth Proportional to 468.56, 646.66 and 321.68

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Solution

The fourth proportional to 468.56, 646.66 and 321.68 is: 443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.66 = 321.68 : x
  2. Step 2: Convert to fraction form
    468.56/646.66 = 321.68/x
  3. Step 3: Cross multiply
    468.56x = 646.66 × 321.68
  4. Step 4: Simplify right side
    468.56x = 208,017.59
  5. Step 5: Solve for x
    x = 208,017.59/468.56
  6. Step 6: Final answer
    x = 443.95

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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.