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Finding the Fourth Proportional to 253.82, 382.51 and 229.46

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Solution

The fourth proportional to 253.82, 382.51 and 229.46 is: 345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 382.51 = 229.46 : x
  2. Step 2: Convert to fraction form
    253.82/382.51 = 229.46/x
  3. Step 3: Cross multiply
    253.82x = 382.51 × 229.46
  4. Step 4: Simplify right side
    253.82x = 87,770.74
  5. Step 5: Solve for x
    x = 87,770.74/253.82
  6. Step 6: Final answer
    x = 345.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.