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Finding the Fourth Proportional to 210.39, 290.31 and 117.13

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Solution

The fourth proportional to 210.39, 290.31 and 117.13 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.39 : 290.31 = 117.13 : x
  2. Step 2: Convert to fraction form
    210.39/290.31 = 117.13/x
  3. Step 3: Cross multiply
    210.39x = 290.31 × 117.13
  4. Step 4: Simplify right side
    210.39x = 34,002.56
  5. Step 5: Solve for x
    x = 34,002.56/210.39
  6. Step 6: Final answer
    x = 161.62

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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.