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Finding the Fourth Proportional to 452.40, 677.94 and 178.32

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Solution

The fourth proportional to 452.40, 677.94 and 178.32 is: 267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.40 : 677.94 = 178.32 : x
  2. Step 2: Convert to fraction form
    452.40/677.94 = 178.32/x
  3. Step 3: Cross multiply
    452.40x = 677.94 × 178.32
  4. Step 4: Simplify right side
    452.40x = 120,890.26
  5. Step 5: Solve for x
    x = 120,890.26/452.40
  6. Step 6: Final answer
    x = 267.22

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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.