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Finding the Fourth Proportional to 210.41, 290.27 and 181.25

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Solution

The fourth proportional to 210.41, 290.27 and 181.25 is: 250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.41 : 290.27 = 181.25 : x
  2. Step 2: Convert to fraction form
    210.41/290.27 = 181.25/x
  3. Step 3: Cross multiply
    210.41x = 290.27 × 181.25
  4. Step 4: Simplify right side
    210.41x = 52,610.53
  5. Step 5: Solve for x
    x = 52,610.53/210.41
  6. Step 6: Final answer
    x = 250.04

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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.