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Finding the Fourth Proportional to 149, 205.53 and 121.10

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Solution

The fourth proportional to 149, 205.53 and 121.10 is: 167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 205.53 = 121.10 : x
  2. Step 2: Convert to fraction form
    149/205.53 = 121.10/x
  3. Step 3: Cross multiply
    149x = 205.53 × 121.10
  4. Step 4: Simplify right side
    149x = 24,889.68
  5. Step 5: Solve for x
    x = 24,889.68/149
  6. Step 6: Final answer
    x = 167.04

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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.