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Finding the Fourth Proportional to 409.56, 614.88 and 245.34

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Solution

The fourth proportional to 409.56, 614.88 and 245.34 is: 368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 614.88 = 245.34 : x
  2. Step 2: Convert to fraction form
    409.56/614.88 = 245.34/x
  3. Step 3: Cross multiply
    409.56x = 614.88 × 245.34
  4. Step 4: Simplify right side
    409.56x = 150,854.66
  5. Step 5: Solve for x
    x = 150,854.66/409.56
  6. Step 6: Final answer
    x = 368.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.