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Finding the Fourth Proportional to 452.23, 677.72 and 220.66

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Solution

The fourth proportional to 452.23, 677.72 and 220.66 is: 330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 677.72 = 220.66 : x
  2. Step 2: Convert to fraction form
    452.23/677.72 = 220.66/x
  3. Step 3: Cross multiply
    452.23x = 677.72 × 220.66
  4. Step 4: Simplify right side
    452.23x = 149,541.20
  5. Step 5: Solve for x
    x = 149,541.20/452.23
  6. Step 6: Final answer
    x = 330.68

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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.