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Finding the Fourth Proportional to 145.56, 217.17 and 138.68

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Solution

The fourth proportional to 145.56, 217.17 and 138.68 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 217.17 = 138.68 : x
  2. Step 2: Convert to fraction form
    145.56/217.17 = 138.68/x
  3. Step 3: Cross multiply
    145.56x = 217.17 × 138.68
  4. Step 4: Simplify right side
    145.56x = 30,117.14
  5. Step 5: Solve for x
    x = 30,117.14/145.56
  6. Step 6: Final answer
    x = 206.91

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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.