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Finding the Fourth Proportional to 447.08, 614.39 and 368.25

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Solution

The fourth proportional to 447.08, 614.39 and 368.25 is: 506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 614.39 = 368.25 : x
  2. Step 2: Convert to fraction form
    447.08/614.39 = 368.25/x
  3. Step 3: Cross multiply
    447.08x = 614.39 × 368.25
  4. Step 4: Simplify right side
    447.08x = 226,247.28
  5. Step 5: Solve for x
    x = 226,247.28/447.08
  6. Step 6: Final answer
    x = 506.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.