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Finding the Fourth Proportional to 210.19, 289.97 and 127.25

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Solution

The fourth proportional to 210.19, 289.97 and 127.25 is: 175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.19 : 289.97 = 127.25 : x
  2. Step 2: Convert to fraction form
    210.19/289.97 = 127.25/x
  3. Step 3: Cross multiply
    210.19x = 289.97 × 127.25
  4. Step 4: Simplify right side
    210.19x = 36,896.60
  5. Step 5: Solve for x
    x = 36,896.60/210.19
  6. Step 6: Final answer
    x = 175.54

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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.