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Finding the Fourth Proportional to 474, 710.49 and 213.81

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Solution

The fourth proportional to 474, 710.49 and 213.81 is: 320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 710.49 = 213.81 : x
  2. Step 2: Convert to fraction form
    474/710.49 = 213.81/x
  3. Step 3: Cross multiply
    474x = 710.49 × 213.81
  4. Step 4: Simplify right side
    474x = 151,909.87
  5. Step 5: Solve for x
    x = 151,909.87/474
  6. Step 6: Final answer
    x = 320.48

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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.