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Finding the Fourth Proportional to 452.75, 624.78 and 256.25

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Solution

The fourth proportional to 452.75, 624.78 and 256.25 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.75 : 624.78 = 256.25 : x
  2. Step 2: Convert to fraction form
    452.75/624.78 = 256.25/x
  3. Step 3: Cross multiply
    452.75x = 624.78 × 256.25
  4. Step 4: Simplify right side
    452.75x = 160,096.75
  5. Step 5: Solve for x
    x = 160,096.75/452.75
  6. Step 6: Final answer
    x = 353.61

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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.