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Finding the Fourth Proportional to 452.30, 624.22 and 284.37

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Solution

The fourth proportional to 452.30, 624.22 and 284.37 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 624.22 = 284.37 : x
  2. Step 2: Convert to fraction form
    452.30/624.22 = 284.37/x
  3. Step 3: Cross multiply
    452.30x = 624.22 × 284.37
  4. Step 4: Simplify right side
    452.30x = 177,509.44
  5. Step 5: Solve for x
    x = 177,509.44/452.30
  6. Step 6: Final answer
    x = 392.46

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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.