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Finding the Fourth Proportional to 380.84, 525.34 and 225.56

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Solution

The fourth proportional to 380.84, 525.34 and 225.56 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.84 : 525.34 = 225.56 : x
  2. Step 2: Convert to fraction form
    380.84/525.34 = 225.56/x
  3. Step 3: Cross multiply
    380.84x = 525.34 × 225.56
  4. Step 4: Simplify right side
    380.84x = 118,495.69
  5. Step 5: Solve for x
    x = 118,495.69/380.84
  6. Step 6: Final answer
    x = 311.14

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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.