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Finding the Fourth Proportional to 263.14, 362.80 and 193.30

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Solution

The fourth proportional to 263.14, 362.80 and 193.30 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 362.80 = 193.30 : x
  2. Step 2: Convert to fraction form
    263.14/362.80 = 193.30/x
  3. Step 3: Cross multiply
    263.14x = 362.80 × 193.30
  4. Step 4: Simplify right side
    263.14x = 70,129.24
  5. Step 5: Solve for x
    x = 70,129.24/263.14
  6. Step 6: Final answer
    x = 266.51

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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.