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Finding the Fourth Proportional to 210.44, 290.43 and 127.60

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Solution

The fourth proportional to 210.44, 290.43 and 127.60 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.44 : 290.43 = 127.60 : x
  2. Step 2: Convert to fraction form
    210.44/290.43 = 127.60/x
  3. Step 3: Cross multiply
    210.44x = 290.43 × 127.60
  4. Step 4: Simplify right side
    210.44x = 37,058.14
  5. Step 5: Solve for x
    x = 37,058.14/210.44
  6. Step 6: Final answer
    x = 176.10

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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.