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Finding the Fourth Proportional to 304.42, 416.48 and 303.22

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Solution

The fourth proportional to 304.42, 416.48 and 303.22 is: 414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.42 : 416.48 = 303.22 : x
  2. Step 2: Convert to fraction form
    304.42/416.48 = 303.22/x
  3. Step 3: Cross multiply
    304.42x = 416.48 × 303.22
  4. Step 4: Simplify right side
    304.42x = 126,285.07
  5. Step 5: Solve for x
    x = 126,285.07/304.42
  6. Step 6: Final answer
    x = 414.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.