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Finding the Fourth Proportional to 263.80, 363.72 and 230.47

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Solution

The fourth proportional to 263.80, 363.72 and 230.47 is: 317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 363.72 = 230.47 : x
  2. Step 2: Convert to fraction form
    263.80/363.72 = 230.47/x
  3. Step 3: Cross multiply
    263.80x = 363.72 × 230.47
  4. Step 4: Simplify right side
    263.80x = 83,826.55
  5. Step 5: Solve for x
    x = 83,826.55/263.80
  6. Step 6: Final answer
    x = 317.77

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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.