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Finding the Fourth Proportional to 301.86, 416.16 and 196.74

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Solution

The fourth proportional to 301.86, 416.16 and 196.74 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.16 = 196.74 : x
  2. Step 2: Convert to fraction form
    301.86/416.16 = 196.74/x
  3. Step 3: Cross multiply
    301.86x = 416.16 × 196.74
  4. Step 4: Simplify right side
    301.86x = 81,875.32
  5. Step 5: Solve for x
    x = 81,875.32/301.86
  6. Step 6: Final answer
    x = 271.24

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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.