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Finding the Fourth Proportional to 452.15, 624.02 and 286.41

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Solution

The fourth proportional to 452.15, 624.02 and 286.41 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.15 : 624.02 = 286.41 : x
  2. Step 2: Convert to fraction form
    452.15/624.02 = 286.41/x
  3. Step 3: Cross multiply
    452.15x = 624.02 × 286.41
  4. Step 4: Simplify right side
    452.15x = 178,725.57
  5. Step 5: Solve for x
    x = 178,725.57/452.15
  6. Step 6: Final answer
    x = 395.28

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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.