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Finding the Fourth Proportional to 245.23, 366.52 and 225.77

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Solution

The fourth proportional to 245.23, 366.52 and 225.77 is: 337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.23 : 366.52 = 225.77 : x
  2. Step 2: Convert to fraction form
    245.23/366.52 = 225.77/x
  3. Step 3: Cross multiply
    245.23x = 366.52 × 225.77
  4. Step 4: Simplify right side
    245.23x = 82,749.22
  5. Step 5: Solve for x
    x = 82,749.22/245.23
  6. Step 6: Final answer
    x = 337.44

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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.