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Finding the Fourth Proportional to 468.33, 646.33 and 321.01

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Solution

The fourth proportional to 468.33, 646.33 and 321.01 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.33 : 646.33 = 321.01 : x
  2. Step 2: Convert to fraction form
    468.33/646.33 = 321.01/x
  3. Step 3: Cross multiply
    468.33x = 646.33 × 321.01
  4. Step 4: Simplify right side
    468.33x = 207,480.21
  5. Step 5: Solve for x
    x = 207,480.21/468.33
  6. Step 6: Final answer
    x = 443.02

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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.