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Finding the Fourth Proportional to 642.71, 964.15 and 231.89

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Solution

The fourth proportional to 642.71, 964.15 and 231.89 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.71 : 964.15 = 231.89 : x
  2. Step 2: Convert to fraction form
    642.71/964.15 = 231.89/x
  3. Step 3: Cross multiply
    642.71x = 964.15 × 231.89
  4. Step 4: Simplify right side
    642.71x = 223,571.34
  5. Step 5: Solve for x
    x = 223,571.34/642.71
  6. Step 6: Final answer
    x = 347.86

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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.