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Finding the Fourth Proportional to 253.50, 377.73 and 226.25

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Solution

The fourth proportional to 253.50, 377.73 and 226.25 is: 337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 377.73 = 226.25 : x
  2. Step 2: Convert to fraction form
    253.50/377.73 = 226.25/x
  3. Step 3: Cross multiply
    253.50x = 377.73 × 226.25
  4. Step 4: Simplify right side
    253.50x = 85,459.52
  5. Step 5: Solve for x
    x = 85,459.52/253.50
  6. Step 6: Final answer
    x = 337.12

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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.