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Finding the Fourth Proportional to 151.23, 209.91 and 145.29

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Solution

The fourth proportional to 151.23, 209.91 and 145.29 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 209.91 = 145.29 : x
  2. Step 2: Convert to fraction form
    151.23/209.91 = 145.29/x
  3. Step 3: Cross multiply
    151.23x = 209.91 × 145.29
  4. Step 4: Simplify right side
    151.23x = 30,497.82
  5. Step 5: Solve for x
    x = 30,497.82/151.23
  6. Step 6: Final answer
    x = 201.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.