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Finding the Fourth Proportional to 149.21, 205.45 and 118.02

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Solution

The fourth proportional to 149.21, 205.45 and 118.02 is: 162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.21 : 205.45 = 118.02 : x
  2. Step 2: Convert to fraction form
    149.21/205.45 = 118.02/x
  3. Step 3: Cross multiply
    149.21x = 205.45 × 118.02
  4. Step 4: Simplify right side
    149.21x = 24,247.21
  5. Step 5: Solve for x
    x = 24,247.21/149.21
  6. Step 6: Final answer
    x = 162.51

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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.