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Finding the Fourth Proportional to 241.64, 360.98 and 154.27

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Solution

The fourth proportional to 241.64, 360.98 and 154.27 is: 230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 360.98 = 154.27 : x
  2. Step 2: Convert to fraction form
    241.64/360.98 = 154.27/x
  3. Step 3: Cross multiply
    241.64x = 360.98 × 154.27
  4. Step 4: Simplify right side
    241.64x = 55,687.87
  5. Step 5: Solve for x
    x = 55,687.87/241.64
  6. Step 6: Final answer
    x = 230.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.