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Finding the Fourth Proportional to 263.37, 394.77 and 176.64

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Solution

The fourth proportional to 263.37, 394.77 and 176.64 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.37 : 394.77 = 176.64 : x
  2. Step 2: Convert to fraction form
    263.37/394.77 = 176.64/x
  3. Step 3: Cross multiply
    263.37x = 394.77 × 176.64
  4. Step 4: Simplify right side
    263.37x = 69,732.17
  5. Step 5: Solve for x
    x = 69,732.17/263.37
  6. Step 6: Final answer
    x = 264.77

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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.