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Finding the Fourth Proportional to 452.53, 678.64 and 178.55

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Solution

The fourth proportional to 452.53, 678.64 and 178.55 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.53 : 678.64 = 178.55 : x
  2. Step 2: Convert to fraction form
    452.53/678.64 = 178.55/x
  3. Step 3: Cross multiply
    452.53x = 678.64 × 178.55
  4. Step 4: Simplify right side
    452.53x = 121,171.17
  5. Step 5: Solve for x
    x = 121,171.17/452.53
  6. Step 6: Final answer
    x = 267.76

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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.