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Finding the Fourth Proportional to 446.06, 615.09 and 347.64

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Solution

The fourth proportional to 446.06, 615.09 and 347.64 is: 479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 615.09 = 347.64 : x
  2. Step 2: Convert to fraction form
    446.06/615.09 = 347.64/x
  3. Step 3: Cross multiply
    446.06x = 615.09 × 347.64
  4. Step 4: Simplify right side
    446.06x = 213,832.34
  5. Step 5: Solve for x
    x = 213,832.34/446.06
  6. Step 6: Final answer
    x = 479.38

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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.