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Finding the Fourth Proportional to 210.35, 290.26 and 127.43

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Solution

The fourth proportional to 210.35, 290.26 and 127.43 is: 175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.35 : 290.26 = 127.43 : x
  2. Step 2: Convert to fraction form
    210.35/290.26 = 127.43/x
  3. Step 3: Cross multiply
    210.35x = 290.26 × 127.43
  4. Step 4: Simplify right side
    210.35x = 36,987.63
  5. Step 5: Solve for x
    x = 36,987.63/210.35
  6. Step 6: Final answer
    x = 175.84

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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.