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Finding the Fourth Proportional to 150.55, 225.64 and 117.97

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Solution

The fourth proportional to 150.55, 225.64 and 117.97 is: 176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.55 : 225.64 = 117.97 : x
  2. Step 2: Convert to fraction form
    150.55/225.64 = 117.97/x
  3. Step 3: Cross multiply
    150.55x = 225.64 × 117.97
  4. Step 4: Simplify right side
    150.55x = 26,618.75
  5. Step 5: Solve for x
    x = 26,618.75/150.55
  6. Step 6: Final answer
    x = 176.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.