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Finding the Fourth Proportional to 145.96, 217.77 and 116.54

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Solution

The fourth proportional to 145.96, 217.77 and 116.54 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 217.77 = 116.54 : x
  2. Step 2: Convert to fraction form
    145.96/217.77 = 116.54/x
  3. Step 3: Cross multiply
    145.96x = 217.77 × 116.54
  4. Step 4: Simplify right side
    145.96x = 25,378.92
  5. Step 5: Solve for x
    x = 25,378.92/145.96
  6. Step 6: Final answer
    x = 173.88

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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.