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Finding the Fourth Proportional to 225.92, 307.60 and 225.20

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Solution

The fourth proportional to 225.92, 307.60 and 225.20 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 307.60 = 225.20 : x
  2. Step 2: Convert to fraction form
    225.92/307.60 = 225.20/x
  3. Step 3: Cross multiply
    225.92x = 307.60 × 225.20
  4. Step 4: Simplify right side
    225.92x = 69,271.52
  5. Step 5: Solve for x
    x = 69,271.52/225.92
  6. Step 6: Final answer
    x = 306.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.