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Finding the Fourth Proportional to 641.57, 961.20 and 230.44

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Solution

The fourth proportional to 641.57, 961.20 and 230.44 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 961.20 = 230.44 : x
  2. Step 2: Convert to fraction form
    641.57/961.20 = 230.44/x
  3. Step 3: Cross multiply
    641.57x = 961.20 × 230.44
  4. Step 4: Simplify right side
    641.57x = 221,496.53
  5. Step 5: Solve for x
    x = 221,496.53/641.57
  6. Step 6: Final answer
    x = 345.24

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1.5x scale

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.