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Finding the Fourth Proportional to 144.32, 199.06 and 127.58

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Solution

The fourth proportional to 144.32, 199.06 and 127.58 is: 175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.32 : 199.06 = 127.58 : x
  2. Step 2: Convert to fraction form
    144.32/199.06 = 127.58/x
  3. Step 3: Cross multiply
    144.32x = 199.06 × 127.58
  4. Step 4: Simplify right side
    144.32x = 25,394.76
  5. Step 5: Solve for x
    x = 25,394.76/144.32
  6. Step 6: Final answer
    x = 175.97

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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.