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Finding the Fourth Proportional to 150.91, 207.30 and 137.14

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Solution

The fourth proportional to 150.91, 207.30 and 137.14 is: 188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.91 : 207.30 = 137.14 : x
  2. Step 2: Convert to fraction form
    150.91/207.30 = 137.14/x
  3. Step 3: Cross multiply
    150.91x = 207.30 × 137.14
  4. Step 4: Simplify right side
    150.91x = 28,429.12
  5. Step 5: Solve for x
    x = 28,429.12/150.91
  6. Step 6: Final answer
    x = 188.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.