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Finding the Fourth Proportional to 641.84, 962.54 and 230.86

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Solution

The fourth proportional to 641.84, 962.54 and 230.86 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.84 : 962.54 = 230.86 : x
  2. Step 2: Convert to fraction form
    641.84/962.54 = 230.86/x
  3. Step 3: Cross multiply
    641.84x = 962.54 × 230.86
  4. Step 4: Simplify right side
    641.84x = 222,211.98
  5. Step 5: Solve for x
    x = 222,211.98/641.84
  6. Step 6: Final answer
    x = 346.21

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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.