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Finding the Fourth Proportional to 641.66, 961.86 and 230.72

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Solution

The fourth proportional to 641.66, 961.86 and 230.72 is: 345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.66 : 961.86 = 230.72 : x
  2. Step 2: Convert to fraction form
    641.66/961.86 = 230.72/x
  3. Step 3: Cross multiply
    641.66x = 961.86 × 230.72
  4. Step 4: Simplify right side
    641.66x = 221,920.34
  5. Step 5: Solve for x
    x = 221,920.34/641.66
  6. Step 6: Final answer
    x = 345.85

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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.