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Finding the Fourth Proportional to 214.71, 323.21 and 184.94

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Solution

The fourth proportional to 214.71, 323.21 and 184.94 is: 278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 323.21 = 184.94 : x
  2. Step 2: Convert to fraction form
    214.71/323.21 = 184.94/x
  3. Step 3: Cross multiply
    214.71x = 323.21 × 184.94
  4. Step 4: Simplify right side
    214.71x = 59,774.46
  5. Step 5: Solve for x
    x = 59,774.46/214.71
  6. Step 6: Final answer
    x = 278.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.