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Finding the Fourth Proportional to 133.47, 183.99 and 105.72

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Solution

The fourth proportional to 133.47, 183.99 and 105.72 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.47 : 183.99 = 105.72 : x
  2. Step 2: Convert to fraction form
    133.47/183.99 = 105.72/x
  3. Step 3: Cross multiply
    133.47x = 183.99 × 105.72
  4. Step 4: Simplify right side
    133.47x = 19,451.42
  5. Step 5: Solve for x
    x = 19,451.42/133.47
  6. Step 6: Final answer
    x = 145.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.