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Finding the Fourth Proportional to 218.17, 323.41 and 214.93

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Solution

The fourth proportional to 218.17, 323.41 and 214.93 is: 318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.17 : 323.41 = 214.93 : x
  2. Step 2: Convert to fraction form
    218.17/323.41 = 214.93/x
  3. Step 3: Cross multiply
    218.17x = 323.41 × 214.93
  4. Step 4: Simplify right side
    218.17x = 69,510.51
  5. Step 5: Solve for x
    x = 69,510.51/218.17
  6. Step 6: Final answer
    x = 318.61

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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.