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Finding the Fourth Proportional to 148.42, 204.83 and 104.77

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Solution

The fourth proportional to 148.42, 204.83 and 104.77 is: 144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.42 : 204.83 = 104.77 : x
  2. Step 2: Convert to fraction form
    148.42/204.83 = 104.77/x
  3. Step 3: Cross multiply
    148.42x = 204.83 × 104.77
  4. Step 4: Simplify right side
    148.42x = 21,460.04
  5. Step 5: Solve for x
    x = 21,460.04/148.42
  6. Step 6: Final answer
    x = 144.59

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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.