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Finding the Fourth Proportional to 642.24, 963.66 and 231.57

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Solution

The fourth proportional to 642.24, 963.66 and 231.57 is: 347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 963.66 = 231.57 : x
  2. Step 2: Convert to fraction form
    642.24/963.66 = 231.57/x
  3. Step 3: Cross multiply
    642.24x = 963.66 × 231.57
  4. Step 4: Simplify right side
    642.24x = 223,154.75
  5. Step 5: Solve for x
    x = 223,154.75/642.24
  6. Step 6: Final answer
    x = 347.46

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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.