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Finding the Fourth Proportional to 145.29, 216.42 and 138.27

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Solution

The fourth proportional to 145.29, 216.42 and 138.27 is: 205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.29 : 216.42 = 138.27 : x
  2. Step 2: Convert to fraction form
    145.29/216.42 = 138.27/x
  3. Step 3: Cross multiply
    145.29x = 216.42 × 138.27
  4. Step 4: Simplify right side
    145.29x = 29,924.39
  5. Step 5: Solve for x
    x = 29,924.39/145.29
  6. Step 6: Final answer
    x = 205.96

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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.