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Finding the Fourth Proportional to 253.12, 377.72 and 225.85

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Solution

The fourth proportional to 253.12, 377.72 and 225.85 is: 337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 377.72 = 225.85 : x
  2. Step 2: Convert to fraction form
    253.12/377.72 = 225.85/x
  3. Step 3: Cross multiply
    253.12x = 377.72 × 225.85
  4. Step 4: Simplify right side
    253.12x = 85,308.06
  5. Step 5: Solve for x
    x = 85,308.06/253.12
  6. Step 6: Final answer
    x = 337.03

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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.