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Finding the Fourth Proportional to 445.47, 614.34 and 305.34

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Solution

The fourth proportional to 445.47, 614.34 and 305.34 is: 421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 614.34 = 305.34 : x
  2. Step 2: Convert to fraction form
    445.47/614.34 = 305.34/x
  3. Step 3: Cross multiply
    445.47x = 614.34 × 305.34
  4. Step 4: Simplify right side
    445.47x = 187,582.58
  5. Step 5: Solve for x
    x = 187,582.58/445.47
  6. Step 6: Final answer
    x = 421.09

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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.