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Finding the Fourth Proportional to 301.18, 416.72 and 262.44

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Solution

The fourth proportional to 301.18, 416.72 and 262.44 is: 363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.18 : 416.72 = 262.44 : x
  2. Step 2: Convert to fraction form
    301.18/416.72 = 262.44/x
  3. Step 3: Cross multiply
    301.18x = 416.72 × 262.44
  4. Step 4: Simplify right side
    301.18x = 109,364.00
  5. Step 5: Solve for x
    x = 109,364.00/301.18
  6. Step 6: Final answer
    x = 363.12

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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.