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Finding the Fourth Proportional to 469.20, 646.88 and 338.24

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Solution

The fourth proportional to 469.20, 646.88 and 338.24 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 646.88 = 338.24 : x
  2. Step 2: Convert to fraction form
    469.20/646.88 = 338.24/x
  3. Step 3: Cross multiply
    469.20x = 646.88 × 338.24
  4. Step 4: Simplify right side
    469.20x = 218,800.69
  5. Step 5: Solve for x
    x = 218,800.69/469.20
  6. Step 6: Final answer
    x = 466.33

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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.