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Finding the Fourth Proportional to 129.66, 194.52 and 42.98

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Solution

The fourth proportional to 129.66, 194.52 and 42.98 is: 64.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 194.52 = 42.98 : x
  2. Step 2: Convert to fraction form
    129.66/194.52 = 42.98/x
  3. Step 3: Cross multiply
    129.66x = 194.52 × 42.98
  4. Step 4: Simplify right side
    129.66x = 8,359.50
  5. Step 5: Solve for x
    x = 8,359.50/129.66
  6. Step 6: Final answer
    x = 64.47

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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.