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Finding the Fourth Proportional to 641.18, 961.68 and 178.91

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Solution

The fourth proportional to 641.18, 961.68 and 178.91 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.18 : 961.68 = 178.91 : x
  2. Step 2: Convert to fraction form
    641.18/961.68 = 178.91/x
  3. Step 3: Cross multiply
    641.18x = 961.68 × 178.91
  4. Step 4: Simplify right side
    641.18x = 172,054.17
  5. Step 5: Solve for x
    x = 172,054.17/641.18
  6. Step 6: Final answer
    x = 268.34

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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.