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Finding the Fourth Proportional to 476.09, 656.97 and 279.58

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Solution

The fourth proportional to 476.09, 656.97 and 279.58 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.09 : 656.97 = 279.58 : x
  2. Step 2: Convert to fraction form
    476.09/656.97 = 279.58/x
  3. Step 3: Cross multiply
    476.09x = 656.97 × 279.58
  4. Step 4: Simplify right side
    476.09x = 183,672.39
  5. Step 5: Solve for x
    x = 183,672.39/476.09
  6. Step 6: Final answer
    x = 385.79

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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.