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Finding the Fourth Proportional to 225.84, 312.24 and 223.68

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Solution

The fourth proportional to 225.84, 312.24 and 223.68 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 312.24 = 223.68 : x
  2. Step 2: Convert to fraction form
    225.84/312.24 = 223.68/x
  3. Step 3: Cross multiply
    225.84x = 312.24 × 223.68
  4. Step 4: Simplify right side
    225.84x = 69,841.84
  5. Step 5: Solve for x
    x = 69,841.84/225.84
  6. Step 6: Final answer
    x = 309.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.