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Finding the Fourth Proportional to 149.63, 206.64 and 111.02

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Solution

The fourth proportional to 149.63, 206.64 and 111.02 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 206.64 = 111.02 : x
  2. Step 2: Convert to fraction form
    149.63/206.64 = 111.02/x
  3. Step 3: Cross multiply
    149.63x = 206.64 × 111.02
  4. Step 4: Simplify right side
    149.63x = 22,940.14
  5. Step 5: Solve for x
    x = 22,940.14/149.63
  6. Step 6: Final answer
    x = 153.32

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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.