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Finding the Fourth Proportional to 149.22, 204.84 and 148.76

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Solution

The fourth proportional to 149.22, 204.84 and 148.76 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 204.84 = 148.76 : x
  2. Step 2: Convert to fraction form
    149.22/204.84 = 148.76/x
  3. Step 3: Cross multiply
    149.22x = 204.84 × 148.76
  4. Step 4: Simplify right side
    149.22x = 30,472.53
  5. Step 5: Solve for x
    x = 30,472.53/149.22
  6. Step 6: Final answer
    x = 204.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.