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Finding the Fourth Proportional to 145.89, 216.39 and 143.73

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Solution

The fourth proportional to 145.89, 216.39 and 143.73 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.89 : 216.39 = 143.73 : x
  2. Step 2: Convert to fraction form
    145.89/216.39 = 143.73/x
  3. Step 3: Cross multiply
    145.89x = 216.39 × 143.73
  4. Step 4: Simplify right side
    145.89x = 31,099.93
  5. Step 5: Solve for x
    x = 31,099.93/145.89
  6. Step 6: Final answer
    x = 213.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.