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Finding the Fourth Proportional to 295.55, 407.72 and 179.09

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Solution

The fourth proportional to 295.55, 407.72 and 179.09 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.55 : 407.72 = 179.09 : x
  2. Step 2: Convert to fraction form
    295.55/407.72 = 179.09/x
  3. Step 3: Cross multiply
    295.55x = 407.72 × 179.09
  4. Step 4: Simplify right side
    295.55x = 73,016.98
  5. Step 5: Solve for x
    x = 73,016.98/295.55
  6. Step 6: Final answer
    x = 247.06

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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.