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Finding the Fourth Proportional to 262.25, 362.17 and 210.48

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Solution

The fourth proportional to 262.25, 362.17 and 210.48 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 362.17 = 210.48 : x
  2. Step 2: Convert to fraction form
    262.25/362.17 = 210.48/x
  3. Step 3: Cross multiply
    262.25x = 362.17 × 210.48
  4. Step 4: Simplify right side
    262.25x = 76,228.45
  5. Step 5: Solve for x
    x = 76,228.45/262.25
  6. Step 6: Final answer
    x = 290.67

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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.