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Finding the Fourth Proportional to 129.80, 194.57 and 56.63

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Solution

The fourth proportional to 129.80, 194.57 and 56.63 is: 84.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 194.57 = 56.63 : x
  2. Step 2: Convert to fraction form
    129.80/194.57 = 56.63/x
  3. Step 3: Cross multiply
    129.80x = 194.57 × 56.63
  4. Step 4: Simplify right side
    129.80x = 11,018.14
  5. Step 5: Solve for x
    x = 11,018.14/129.80
  6. Step 6: Final answer
    x = 84.89

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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.