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Finding the Fourth Proportional to 253.12, 377.71 and 225.88

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Solution

The fourth proportional to 253.12, 377.71 and 225.88 is: 337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 377.71 = 225.88 : x
  2. Step 2: Convert to fraction form
    253.12/377.71 = 225.88/x
  3. Step 3: Cross multiply
    253.12x = 377.71 × 225.88
  4. Step 4: Simplify right side
    253.12x = 85,317.13
  5. Step 5: Solve for x
    x = 85,317.13/253.12
  6. Step 6: Final answer
    x = 337.06

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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.