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Finding the Fourth Proportional to 253.24, 377.78 and 225.91

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Solution

The fourth proportional to 253.24, 377.78 and 225.91 is: 337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 377.78 = 225.91 : x
  2. Step 2: Convert to fraction form
    253.24/377.78 = 225.91/x
  3. Step 3: Cross multiply
    253.24x = 377.78 × 225.91
  4. Step 4: Simplify right side
    253.24x = 85,344.28
  5. Step 5: Solve for x
    x = 85,344.28/253.24
  6. Step 6: Final answer
    x = 337.01

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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.