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Finding the Fourth Proportional to 149.54, 205.58 and 127.58

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Solution

The fourth proportional to 149.54, 205.58 and 127.58 is: 175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.54 : 205.58 = 127.58 : x
  2. Step 2: Convert to fraction form
    149.54/205.58 = 127.58/x
  3. Step 3: Cross multiply
    149.54x = 205.58 × 127.58
  4. Step 4: Simplify right side
    149.54x = 26,227.90
  5. Step 5: Solve for x
    x = 26,227.90/149.54
  6. Step 6: Final answer
    x = 175.39

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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.