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Finding the Fourth Proportional to 148.62, 204.75 and 104.82

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Solution

The fourth proportional to 148.62, 204.75 and 104.82 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.62 : 204.75 = 104.82 : x
  2. Step 2: Convert to fraction form
    148.62/204.75 = 104.82/x
  3. Step 3: Cross multiply
    148.62x = 204.75 × 104.82
  4. Step 4: Simplify right side
    148.62x = 21,461.90
  5. Step 5: Solve for x
    x = 21,461.90/148.62
  6. Step 6: Final answer
    x = 144.41

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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.