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Finding the Fourth Proportional to 474.71, 711.46 and 214.70

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Solution

The fourth proportional to 474.71, 711.46 and 214.70 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 711.46 = 214.70 : x
  2. Step 2: Convert to fraction form
    474.71/711.46 = 214.70/x
  3. Step 3: Cross multiply
    474.71x = 711.46 × 214.70
  4. Step 4: Simplify right side
    474.71x = 152,751.70
  5. Step 5: Solve for x
    x = 152,751.70/474.71
  6. Step 6: Final answer
    x = 321.78

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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.