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Finding the Fourth Proportional to 445.12, 664.37 and 336.40

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Solution

The fourth proportional to 445.12, 664.37 and 336.40 is: 502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.12 : 664.37 = 336.40 : x
  2. Step 2: Convert to fraction form
    445.12/664.37 = 336.40/x
  3. Step 3: Cross multiply
    445.12x = 664.37 × 336.40
  4. Step 4: Simplify right side
    445.12x = 223,494.07
  5. Step 5: Solve for x
    x = 223,494.07/445.12
  6. Step 6: Final answer
    x = 502.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.