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Finding the Fourth Proportional to 225.84, 312 and 189.12

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Solution

The fourth proportional to 225.84, 312 and 189.12 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 312 = 189.12 : x
  2. Step 2: Convert to fraction form
    225.84/312 = 189.12/x
  3. Step 3: Cross multiply
    225.84x = 312 × 189.12
  4. Step 4: Simplify right side
    225.84x = 59,005.44
  5. Step 5: Solve for x
    x = 59,005.44/225.84
  6. Step 6: Final answer
    x = 261.27

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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.