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Finding the Fourth Proportional to 452.55, 678.61 and 144.33

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Solution

The fourth proportional to 452.55, 678.61 and 144.33 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.55 : 678.61 = 144.33 : x
  2. Step 2: Convert to fraction form
    452.55/678.61 = 144.33/x
  3. Step 3: Cross multiply
    452.55x = 678.61 × 144.33
  4. Step 4: Simplify right side
    452.55x = 97,943.78
  5. Step 5: Solve for x
    x = 97,943.78/452.55
  6. Step 6: Final answer
    x = 216.43

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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.