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Finding the Fourth Proportional to 229.34, 344.10 and 101

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Solution

The fourth proportional to 229.34, 344.10 and 101 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.34 : 344.10 = 101 : x
  2. Step 2: Convert to fraction form
    229.34/344.10 = 101/x
  3. Step 3: Cross multiply
    229.34x = 344.10 × 101
  4. Step 4: Simplify right side
    229.34x = 34,754.10
  5. Step 5: Solve for x
    x = 34,754.10/229.34
  6. Step 6: Final answer
    x = 151.54

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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.