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Finding the Fourth Proportional to 210.27, 290.23 and 136.61

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Solution

The fourth proportional to 210.27, 290.23 and 136.61 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.27 : 290.23 = 136.61 : x
  2. Step 2: Convert to fraction form
    210.27/290.23 = 136.61/x
  3. Step 3: Cross multiply
    210.27x = 290.23 × 136.61
  4. Step 4: Simplify right side
    210.27x = 39,649.20
  5. Step 5: Solve for x
    x = 39,649.20/210.27
  6. Step 6: Final answer
    x = 188.56

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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.