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Finding the Fourth Proportional to 148.90, 205.86 and 140.80

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Solution

The fourth proportional to 148.90, 205.86 and 140.80 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 205.86 = 140.80 : x
  2. Step 2: Convert to fraction form
    148.90/205.86 = 140.80/x
  3. Step 3: Cross multiply
    148.90x = 205.86 × 140.80
  4. Step 4: Simplify right side
    148.90x = 28,985.09
  5. Step 5: Solve for x
    x = 28,985.09/148.90
  6. Step 6: Final answer
    x = 194.66

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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.