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Finding the Fourth Proportional to 231.20, 345.12 and 214.30

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Solution

The fourth proportional to 231.20, 345.12 and 214.30 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 345.12 = 214.30 : x
  2. Step 2: Convert to fraction form
    231.20/345.12 = 214.30/x
  3. Step 3: Cross multiply
    231.20x = 345.12 × 214.30
  4. Step 4: Simplify right side
    231.20x = 73,959.22
  5. Step 5: Solve for x
    x = 73,959.22/231.20
  6. Step 6: Final answer
    x = 319.89

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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.