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Finding the Fourth Proportional to 150.50, 224.38 and 141.32

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Solution

The fourth proportional to 150.50, 224.38 and 141.32 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.50 : 224.38 = 141.32 : x
  2. Step 2: Convert to fraction form
    150.50/224.38 = 141.32/x
  3. Step 3: Cross multiply
    150.50x = 224.38 × 141.32
  4. Step 4: Simplify right side
    150.50x = 31,709.38
  5. Step 5: Solve for x
    x = 31,709.38/150.50
  6. Step 6: Final answer
    x = 210.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.