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Finding the Fourth Proportional to 301.19, 416.16 and 261.54

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Solution

The fourth proportional to 301.19, 416.16 and 261.54 is: 361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.19 : 416.16 = 261.54 : x
  2. Step 2: Convert to fraction form
    301.19/416.16 = 261.54/x
  3. Step 3: Cross multiply
    301.19x = 416.16 × 261.54
  4. Step 4: Simplify right side
    301.19x = 108,842.49
  5. Step 5: Solve for x
    x = 108,842.49/301.19
  6. Step 6: Final answer
    x = 361.38

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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.