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Finding the Fourth Proportional to 263.01, 393.65 and 193.58

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Solution

The fourth proportional to 263.01, 393.65 and 193.58 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.01 : 393.65 = 193.58 : x
  2. Step 2: Convert to fraction form
    263.01/393.65 = 193.58/x
  3. Step 3: Cross multiply
    263.01x = 393.65 × 193.58
  4. Step 4: Simplify right side
    263.01x = 76,200.74
  5. Step 5: Solve for x
    x = 76,200.74/263.01
  6. Step 6: Final answer
    x = 289.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.