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Finding the Fourth Proportional to 210.26, 289.44 and 182.47

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Solution

The fourth proportional to 210.26, 289.44 and 182.47 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.26 : 289.44 = 182.47 : x
  2. Step 2: Convert to fraction form
    210.26/289.44 = 182.47/x
  3. Step 3: Cross multiply
    210.26x = 289.44 × 182.47
  4. Step 4: Simplify right side
    210.26x = 52,812.67
  5. Step 5: Solve for x
    x = 52,812.67/210.26
  6. Step 6: Final answer
    x = 251.18

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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.