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Finding the Fourth Proportional to 469.32, 646.86 and 321.72

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Solution

The fourth proportional to 469.32, 646.86 and 321.72 is: 443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 646.86 = 321.72 : x
  2. Step 2: Convert to fraction form
    469.32/646.86 = 321.72/x
  3. Step 3: Cross multiply
    469.32x = 646.86 × 321.72
  4. Step 4: Simplify right side
    469.32x = 208,107.80
  5. Step 5: Solve for x
    x = 208,107.80/469.32
  6. Step 6: Final answer
    x = 443.42

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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.