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Finding the Fourth Proportional to 231.17, 347.52 and 214.27

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Solution

The fourth proportional to 231.17, 347.52 and 214.27 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.17 : 347.52 = 214.27 : x
  2. Step 2: Convert to fraction form
    231.17/347.52 = 214.27/x
  3. Step 3: Cross multiply
    231.17x = 347.52 × 214.27
  4. Step 4: Simplify right side
    231.17x = 74,463.11
  5. Step 5: Solve for x
    x = 74,463.11/231.17
  6. Step 6: Final answer
    x = 322.11

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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.