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Finding the Fourth Proportional to 262.76, 362.80 and 189.24

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Solution

The fourth proportional to 262.76, 362.80 and 189.24 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 362.80 = 189.24 : x
  2. Step 2: Convert to fraction form
    262.76/362.80 = 189.24/x
  3. Step 3: Cross multiply
    262.76x = 362.80 × 189.24
  4. Step 4: Simplify right side
    262.76x = 68,656.27
  5. Step 5: Solve for x
    x = 68,656.27/262.76
  6. Step 6: Final answer
    x = 261.29

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Find fourth proportional to 131.38, 181.40 and 94.62
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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.