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Finding the Fourth Proportional to 214.03, 318.45 and 213.28

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Solution

The fourth proportional to 214.03, 318.45 and 213.28 is: 317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 318.45 = 213.28 : x
  2. Step 2: Convert to fraction form
    214.03/318.45 = 213.28/x
  3. Step 3: Cross multiply
    214.03x = 318.45 × 213.28
  4. Step 4: Simplify right side
    214.03x = 67,919.02
  5. Step 5: Solve for x
    x = 67,919.02/214.03
  6. Step 6: Final answer
    x = 317.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.