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Finding the Fourth Proportional to 150.93, 209.26 and 145.87

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Solution

The fourth proportional to 150.93, 209.26 and 145.87 is: 202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 209.26 = 145.87 : x
  2. Step 2: Convert to fraction form
    150.93/209.26 = 145.87/x
  3. Step 3: Cross multiply
    150.93x = 209.26 × 145.87
  4. Step 4: Simplify right side
    150.93x = 30,522.98
  5. Step 5: Solve for x
    x = 30,522.98/150.93
  6. Step 6: Final answer
    x = 202.24

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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.