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Finding the Fourth Proportional to 210.35, 290.23 and 127.42

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Solution

The fourth proportional to 210.35, 290.23 and 127.42 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.35 : 290.23 = 127.42 : x
  2. Step 2: Convert to fraction form
    210.35/290.23 = 127.42/x
  3. Step 3: Cross multiply
    210.35x = 290.23 × 127.42
  4. Step 4: Simplify right side
    210.35x = 36,982.41
  5. Step 5: Solve for x
    x = 36,982.41/210.35
  6. Step 6: Final answer
    x = 175.82

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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.