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Finding the Fourth Proportional to 149.50, 224.00 and 117.21

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Solution

The fourth proportional to 149.50, 224.00 and 117.21 is: 175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 224.00 = 117.21 : x
  2. Step 2: Convert to fraction form
    149.50/224.00 = 117.21/x
  3. Step 3: Cross multiply
    149.50x = 224.00 × 117.21
  4. Step 4: Simplify right side
    149.50x = 26,254.54
  5. Step 5: Solve for x
    x = 26,254.54/149.50
  6. Step 6: Final answer
    x = 175.61

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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.