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Finding the Fourth Proportional to 218.33, 323.64 and 214.89

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Solution

The fourth proportional to 218.33, 323.64 and 214.89 is: 318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.33 : 323.64 = 214.89 : x
  2. Step 2: Convert to fraction form
    218.33/323.64 = 214.89/x
  3. Step 3: Cross multiply
    218.33x = 323.64 × 214.89
  4. Step 4: Simplify right side
    218.33x = 69,547.00
  5. Step 5: Solve for x
    x = 69,547.00/218.33
  6. Step 6: Final answer
    x = 318.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.