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Finding the Fourth Proportional to 470.05, 705.18 and 161.89

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Solution

The fourth proportional to 470.05, 705.18 and 161.89 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.05 : 705.18 = 161.89 : x
  2. Step 2: Convert to fraction form
    470.05/705.18 = 161.89/x
  3. Step 3: Cross multiply
    470.05x = 705.18 × 161.89
  4. Step 4: Simplify right side
    470.05x = 114,161.59
  5. Step 5: Solve for x
    x = 114,161.59/470.05
  6. Step 6: Final answer
    x = 242.87

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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.