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Finding the Fourth Proportional to 144.41, 216.43 and 83.50

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Solution

The fourth proportional to 144.41, 216.43 and 83.50 is: 125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 216.43 = 83.50 : x
  2. Step 2: Convert to fraction form
    144.41/216.43 = 83.50/x
  3. Step 3: Cross multiply
    144.41x = 216.43 × 83.50
  4. Step 4: Simplify right side
    144.41x = 18,071.16
  5. Step 5: Solve for x
    x = 18,071.16/144.41
  6. Step 6: Final answer
    x = 125.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.