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Finding the Fourth Proportional to 307.38, 461.03 and 101.96

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Solution

The fourth proportional to 307.38, 461.03 and 101.96 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 461.03 = 101.96 : x
  2. Step 2: Convert to fraction form
    307.38/461.03 = 101.96/x
  3. Step 3: Cross multiply
    307.38x = 461.03 × 101.96
  4. Step 4: Simplify right side
    307.38x = 47,004.19
  5. Step 5: Solve for x
    x = 47,004.19/307.38
  6. Step 6: Final answer
    x = 152.92

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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.