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Finding the Fourth Proportional to 445.11, 614.42 and 314.29

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Solution

The fourth proportional to 445.11, 614.42 and 314.29 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.11 : 614.42 = 314.29 : x
  2. Step 2: Convert to fraction form
    445.11/614.42 = 314.29/x
  3. Step 3: Cross multiply
    445.11x = 614.42 × 314.29
  4. Step 4: Simplify right side
    445.11x = 193,106.06
  5. Step 5: Solve for x
    x = 193,106.06/445.11
  6. Step 6: Final answer
    x = 433.84

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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.