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Finding the Fourth Proportional to 214.89, 322.34 and 142.23

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Solution

The fourth proportional to 214.89, 322.34 and 142.23 is: 213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.89 : 322.34 = 142.23 : x
  2. Step 2: Convert to fraction form
    214.89/322.34 = 142.23/x
  3. Step 3: Cross multiply
    214.89x = 322.34 × 142.23
  4. Step 4: Simplify right side
    214.89x = 45,846.42
  5. Step 5: Solve for x
    x = 45,846.42/214.89
  6. Step 6: Final answer
    x = 213.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.