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Finding the Fourth Proportional to 145.56, 217.41 and 133.56

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Solution

The fourth proportional to 145.56, 217.41 and 133.56 is: 199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 217.41 = 133.56 : x
  2. Step 2: Convert to fraction form
    145.56/217.41 = 133.56/x
  3. Step 3: Cross multiply
    145.56x = 217.41 × 133.56
  4. Step 4: Simplify right side
    145.56x = 29,037.28
  5. Step 5: Solve for x
    x = 29,037.28/145.56
  6. Step 6: Final answer
    x = 199.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.