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Finding the Fourth Proportional to 129.21, 193.61 and 56.99

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Solution

The fourth proportional to 129.21, 193.61 and 56.99 is: 85.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.21 : 193.61 = 56.99 : x
  2. Step 2: Convert to fraction form
    129.21/193.61 = 56.99/x
  3. Step 3: Cross multiply
    129.21x = 193.61 × 56.99
  4. Step 4: Simplify right side
    129.21x = 11,032.58
  5. Step 5: Solve for x
    x = 11,032.58/129.21
  6. Step 6: Final answer
    x = 85.38

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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.