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Finding the Fourth Proportional to 423.08, 583.22 and 329.66

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Solution

The fourth proportional to 423.08, 583.22 and 329.66 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 583.22 = 329.66 : x
  2. Step 2: Convert to fraction form
    423.08/583.22 = 329.66/x
  3. Step 3: Cross multiply
    423.08x = 583.22 × 329.66
  4. Step 4: Simplify right side
    423.08x = 192,264.31
  5. Step 5: Solve for x
    x = 192,264.31/423.08
  6. Step 6: Final answer
    x = 454.44

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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.