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Finding the Fourth Proportional to 210.40, 289.92 and 185.56

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Solution

The fourth proportional to 210.40, 289.92 and 185.56 is: 255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 289.92 = 185.56 : x
  2. Step 2: Convert to fraction form
    210.40/289.92 = 185.56/x
  3. Step 3: Cross multiply
    210.40x = 289.92 × 185.56
  4. Step 4: Simplify right side
    210.40x = 53,797.56
  5. Step 5: Solve for x
    x = 53,797.56/210.40
  6. Step 6: Final answer
    x = 255.69

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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.