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Finding the Fourth Proportional to 452.19, 624 and 255.66

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Solution

The fourth proportional to 452.19, 624 and 255.66 is: 352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.19 : 624 = 255.66 : x
  2. Step 2: Convert to fraction form
    452.19/624 = 255.66/x
  3. Step 3: Cross multiply
    452.19x = 624 × 255.66
  4. Step 4: Simplify right side
    452.19x = 159,531.84
  5. Step 5: Solve for x
    x = 159,531.84/452.19
  6. Step 6: Final answer
    x = 352.80

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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.