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Finding the Fourth Proportional to 452.70, 624.75 and 256.23

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Solution

The fourth proportional to 452.70, 624.75 and 256.23 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 624.75 = 256.23 : x
  2. Step 2: Convert to fraction form
    452.70/624.75 = 256.23/x
  3. Step 3: Cross multiply
    452.70x = 624.75 × 256.23
  4. Step 4: Simplify right side
    452.70x = 160,079.69
  5. Step 5: Solve for x
    x = 160,079.69/452.70
  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.