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Finding the Fourth Proportional to 452.63, 679.21 and 178.75

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Solution

The fourth proportional to 452.63, 679.21 and 178.75 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.63 : 679.21 = 178.75 : x
  2. Step 2: Convert to fraction form
    452.63/679.21 = 178.75/x
  3. Step 3: Cross multiply
    452.63x = 679.21 × 178.75
  4. Step 4: Simplify right side
    452.63x = 121,408.79
  5. Step 5: Solve for x
    x = 121,408.79/452.63
  6. Step 6: Final answer
    x = 268.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.