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Finding the Fourth Proportional to 149, 205.32 and 99.84

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Solution

The fourth proportional to 149, 205.32 and 99.84 is: 137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 205.32 = 99.84 : x
  2. Step 2: Convert to fraction form
    149/205.32 = 99.84/x
  3. Step 3: Cross multiply
    149x = 205.32 × 99.84
  4. Step 4: Simplify right side
    149x = 20,499.15
  5. Step 5: Solve for x
    x = 20,499.15/149
  6. Step 6: Final answer
    x = 137.58

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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.