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Finding the Fourth Proportional to 263.13, 362.32 and 233.20

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Solution

The fourth proportional to 263.13, 362.32 and 233.20 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.13 : 362.32 = 233.20 : x
  2. Step 2: Convert to fraction form
    263.13/362.32 = 233.20/x
  3. Step 3: Cross multiply
    263.13x = 362.32 × 233.20
  4. Step 4: Simplify right side
    263.13x = 84,490.05
  5. Step 5: Solve for x
    x = 84,490.05/263.13
  6. Step 6: Final answer
    x = 321.10

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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.