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Finding the Fourth Proportional to 470.05, 704.80 and 161.85

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Solution

The fourth proportional to 470.05, 704.80 and 161.85 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.05 : 704.80 = 161.85 : x
  2. Step 2: Convert to fraction form
    470.05/704.80 = 161.85/x
  3. Step 3: Cross multiply
    470.05x = 704.80 × 161.85
  4. Step 4: Simplify right side
    470.05x = 114,070.76
  5. Step 5: Solve for x
    x = 114,070.76/470.05
  6. Step 6: Final answer
    x = 242.68

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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.