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Finding the Fourth Proportional to 285.50, 426.31 and 263.63

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Solution

The fourth proportional to 285.50, 426.31 and 263.63 is: 393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 426.31 = 263.63 : x
  2. Step 2: Convert to fraction form
    285.50/426.31 = 263.63/x
  3. Step 3: Cross multiply
    285.50x = 426.31 × 263.63
  4. Step 4: Simplify right side
    285.50x = 112,388.11
  5. Step 5: Solve for x
    x = 112,388.11/285.50
  6. Step 6: Final answer
    x = 393.65

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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.