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Finding the Fourth Proportional to 148.45, 204.76 and 120.82

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Solution

The fourth proportional to 148.45, 204.76 and 120.82 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.45 : 204.76 = 120.82 : x
  2. Step 2: Convert to fraction form
    148.45/204.76 = 120.82/x
  3. Step 3: Cross multiply
    148.45x = 204.76 × 120.82
  4. Step 4: Simplify right side
    148.45x = 24,739.10
  5. Step 5: Solve for x
    x = 24,739.10/148.45
  6. Step 6: Final answer
    x = 166.65

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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.