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Finding the Fourth Proportional to 406.64, 612.77 and 336.08

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Solution

The fourth proportional to 406.64, 612.77 and 336.08 is: 506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 612.77 = 336.08 : x
  2. Step 2: Convert to fraction form
    406.64/612.77 = 336.08/x
  3. Step 3: Cross multiply
    406.64x = 612.77 × 336.08
  4. Step 4: Simplify right side
    406.64x = 205,939.74
  5. Step 5: Solve for x
    x = 205,939.74/406.64
  6. Step 6: Final answer
    x = 506.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.