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Finding the Fourth Proportional to 163.98, 244.35 and 159.84

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Solution

The fourth proportional to 163.98, 244.35 and 159.84 is: 238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 244.35 = 159.84 : x
  2. Step 2: Convert to fraction form
    163.98/244.35 = 159.84/x
  3. Step 3: Cross multiply
    163.98x = 244.35 × 159.84
  4. Step 4: Simplify right side
    163.98x = 39,056.90
  5. Step 5: Solve for x
    x = 39,056.90/163.98
  6. Step 6: Final answer
    x = 238.18

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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.