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Finding the Fourth Proportional to 475.01, 711.80 and 214.86

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Solution

The fourth proportional to 475.01, 711.80 and 214.86 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.01 : 711.80 = 214.86 : x
  2. Step 2: Convert to fraction form
    475.01/711.80 = 214.86/x
  3. Step 3: Cross multiply
    475.01x = 711.80 × 214.86
  4. Step 4: Simplify right side
    475.01x = 152,936.27
  5. Step 5: Solve for x
    x = 152,936.27/475.01
  6. Step 6: Final answer
    x = 321.97

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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.