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Finding the Fourth Proportional to 469.38, 703.17 and 263.33

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Solution

The fourth proportional to 469.38, 703.17 and 263.33 is: 394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 703.17 = 263.33 : x
  2. Step 2: Convert to fraction form
    469.38/703.17 = 263.33/x
  3. Step 3: Cross multiply
    469.38x = 703.17 × 263.33
  4. Step 4: Simplify right side
    469.38x = 185,162.24
  5. Step 5: Solve for x
    x = 185,162.24/469.38
  6. Step 6: Final answer
    x = 394.48

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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.