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Finding the Fourth Proportional to 451.76, 678.02 and 178.04

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Solution

The fourth proportional to 451.76, 678.02 and 178.04 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 678.02 = 178.04 : x
  2. Step 2: Convert to fraction form
    451.76/678.02 = 178.04/x
  3. Step 3: Cross multiply
    451.76x = 678.02 × 178.04
  4. Step 4: Simplify right side
    451.76x = 120,710.40
  5. Step 5: Solve for x
    x = 120,710.40/451.76
  6. Step 6: Final answer
    x = 267.20

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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.