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Finding the Fourth Proportional to 210.40, 288.97 and 185.79

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Solution

The fourth proportional to 210.40, 288.97 and 185.79 is: 255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 288.97 = 185.79 : x
  2. Step 2: Convert to fraction form
    210.40/288.97 = 185.79/x
  3. Step 3: Cross multiply
    210.40x = 288.97 × 185.79
  4. Step 4: Simplify right side
    210.40x = 53,688.36
  5. Step 5: Solve for x
    x = 53,688.36/210.40
  6. Step 6: Final answer
    x = 255.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.