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Finding the Fourth Proportional to 231.42, 345.44 and 214.52

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Solution

The fourth proportional to 231.42, 345.44 and 214.52 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 345.44 = 214.52 : x
  2. Step 2: Convert to fraction form
    231.42/345.44 = 214.52/x
  3. Step 3: Cross multiply
    231.42x = 345.44 × 214.52
  4. Step 4: Simplify right side
    231.42x = 74,104.91
  5. Step 5: Solve for x
    x = 74,104.91/231.42
  6. Step 6: Final answer
    x = 320.22

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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.