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Finding the Fourth Proportional to 261.30, 389.94 and 226.98

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Solution

The fourth proportional to 261.30, 389.94 and 226.98 is: 338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 389.94 = 226.98 : x
  2. Step 2: Convert to fraction form
    261.30/389.94 = 226.98/x
  3. Step 3: Cross multiply
    261.30x = 389.94 × 226.98
  4. Step 4: Simplify right side
    261.30x = 88,508.58
  5. Step 5: Solve for x
    x = 88,508.58/261.30
  6. Step 6: Final answer
    x = 338.72

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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.