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Finding the Fourth Proportional to 150.34, 224.23 and 141.76

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Solution

The fourth proportional to 150.34, 224.23 and 141.76 is: 211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.34 : 224.23 = 141.76 : x
  2. Step 2: Convert to fraction form
    150.34/224.23 = 141.76/x
  3. Step 3: Cross multiply
    150.34x = 224.23 × 141.76
  4. Step 4: Simplify right side
    150.34x = 31,786.84
  5. Step 5: Solve for x
    x = 31,786.84/150.34
  6. Step 6: Final answer
    x = 211.43

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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.