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Finding the Fourth Proportional to 150.90, 207.81 and 134.16

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Solution

The fourth proportional to 150.90, 207.81 and 134.16 is: 184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.90 : 207.81 = 134.16 : x
  2. Step 2: Convert to fraction form
    150.90/207.81 = 134.16/x
  3. Step 3: Cross multiply
    150.90x = 207.81 × 134.16
  4. Step 4: Simplify right side
    150.90x = 27,879.79
  5. Step 5: Solve for x
    x = 27,879.79/150.90
  6. Step 6: Final answer
    x = 184.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.