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Finding the Fourth Proportional to 295.76, 407.98 and 185.21

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Solution

The fourth proportional to 295.76, 407.98 and 185.21 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 407.98 = 185.21 : x
  2. Step 2: Convert to fraction form
    295.76/407.98 = 185.21/x
  3. Step 3: Cross multiply
    295.76x = 407.98 × 185.21
  4. Step 4: Simplify right side
    295.76x = 75,561.70
  5. Step 5: Solve for x
    x = 75,561.70/295.76
  6. Step 6: Final answer
    x = 255.49

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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.