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Finding the Fourth Proportional to 961.84, 1,442.75 and 231.41

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Solution

The fourth proportional to 961.84, 1,442.75 and 231.41 is: 347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.84 : 1,442.75 = 231.41 : x
  2. Step 2: Convert to fraction form
    961.84/1,442.75 = 231.41/x
  3. Step 3: Cross multiply
    961.84x = 1,442.75 × 231.41
  4. Step 4: Simplify right side
    961.84x = 333,870.96
  5. Step 5: Solve for x
    x = 333,870.96/961.84
  6. Step 6: Final answer
    x = 347.12

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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.