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Finding the Fourth Proportional to 210.12, 289.97 and 131.43

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Solution

The fourth proportional to 210.12, 289.97 and 131.43 is: 181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.12 : 289.97 = 131.43 : x
  2. Step 2: Convert to fraction form
    210.12/289.97 = 131.43/x
  3. Step 3: Cross multiply
    210.12x = 289.97 × 131.43
  4. Step 4: Simplify right side
    210.12x = 38,110.76
  5. Step 5: Solve for x
    x = 38,110.76/210.12
  6. Step 6: Final answer
    x = 181.38

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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.