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Finding the Fourth Proportional to 145.43, 200.65 and 82.41

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Solution

The fourth proportional to 145.43, 200.65 and 82.41 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.43 : 200.65 = 82.41 : x
  2. Step 2: Convert to fraction form
    145.43/200.65 = 82.41/x
  3. Step 3: Cross multiply
    145.43x = 200.65 × 82.41
  4. Step 4: Simplify right side
    145.43x = 16,535.77
  5. Step 5: Solve for x
    x = 16,535.77/145.43
  6. Step 6: Final answer
    x = 113.70

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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.