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Finding the Fourth Proportional to 163.84, 245.76 and 99.76

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Solution

The fourth proportional to 163.84, 245.76 and 99.76 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 245.76 = 99.76 : x
  2. Step 2: Convert to fraction form
    163.84/245.76 = 99.76/x
  3. Step 3: Cross multiply
    163.84x = 245.76 × 99.76
  4. Step 4: Simplify right side
    163.84x = 24,517.02
  5. Step 5: Solve for x
    x = 24,517.02/163.84
  6. Step 6: Final answer
    x = 149.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.