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Finding the Fourth Proportional to 457.83, 687.33 and 226.98

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Solution

The fourth proportional to 457.83, 687.33 and 226.98 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 687.33 = 226.98 : x
  2. Step 2: Convert to fraction form
    457.83/687.33 = 226.98/x
  3. Step 3: Cross multiply
    457.83x = 687.33 × 226.98
  4. Step 4: Simplify right side
    457.83x = 156,010.16
  5. Step 5: Solve for x
    x = 156,010.16/457.83
  6. Step 6: Final answer
    x = 340.76

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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.