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Finding the Fourth Proportional to 263.57, 393.29 and 262.05

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Solution

The fourth proportional to 263.57, 393.29 and 262.05 is: 391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 393.29 = 262.05 : x
  2. Step 2: Convert to fraction form
    263.57/393.29 = 262.05/x
  3. Step 3: Cross multiply
    263.57x = 393.29 × 262.05
  4. Step 4: Simplify right side
    263.57x = 103,060.33
  5. Step 5: Solve for x
    x = 103,060.33/263.57
  6. Step 6: Final answer
    x = 391.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.