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Finding the Fourth Proportional to 217.03, 322.85 and 214.83

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Solution

The fourth proportional to 217.03, 322.85 and 214.83 is: 319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.03 : 322.85 = 214.83 : x
  2. Step 2: Convert to fraction form
    217.03/322.85 = 214.83/x
  3. Step 3: Cross multiply
    217.03x = 322.85 × 214.83
  4. Step 4: Simplify right side
    217.03x = 69,356.59
  5. Step 5: Solve for x
    x = 69,356.59/217.03
  6. Step 6: Final answer
    x = 319.57

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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.