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Finding the Fourth Proportional to 129.48, 194.04 and 64.50

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Solution

The fourth proportional to 129.48, 194.04 and 64.50 is: 96.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.48 : 194.04 = 64.50 : x
  2. Step 2: Convert to fraction form
    129.48/194.04 = 64.50/x
  3. Step 3: Cross multiply
    129.48x = 194.04 × 64.50
  4. Step 4: Simplify right side
    129.48x = 12,515.58
  5. Step 5: Solve for x
    x = 12,515.58/129.48
  6. Step 6: Final answer
    x = 96.66

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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.