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Finding the Fourth Proportional to 452.38, 624.03 and 286.30

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Solution

The fourth proportional to 452.38, 624.03 and 286.30 is: 394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.38 : 624.03 = 286.30 : x
  2. Step 2: Convert to fraction form
    452.38/624.03 = 286.30/x
  3. Step 3: Cross multiply
    452.38x = 624.03 × 286.30
  4. Step 4: Simplify right side
    452.38x = 178,658.36
  5. Step 5: Solve for x
    x = 178,658.36/452.38
  6. Step 6: Final answer
    x = 394.93

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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.