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Finding the Fourth Proportional to 182.81, 251.41 and 145.91

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Solution

The fourth proportional to 182.81, 251.41 and 145.91 is: 200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 251.41 = 145.91 : x
  2. Step 2: Convert to fraction form
    182.81/251.41 = 145.91/x
  3. Step 3: Cross multiply
    182.81x = 251.41 × 145.91
  4. Step 4: Simplify right side
    182.81x = 36,683.23
  5. Step 5: Solve for x
    x = 36,683.23/182.81
  6. Step 6: Final answer
    x = 200.66

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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.