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Finding the Fourth Proportional to 225.60, 304.80 and 225.60

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Solution

The fourth proportional to 225.60, 304.80 and 225.60 is: 304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 304.80 = 225.60 : x
  2. Step 2: Convert to fraction form
    225.60/304.80 = 225.60/x
  3. Step 3: Cross multiply
    225.60x = 304.80 × 225.60
  4. Step 4: Simplify right side
    225.60x = 68,762.88
  5. Step 5: Solve for x
    x = 68,762.88/225.60
  6. Step 6: Final answer
    x = 304.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.