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Finding the Fourth Proportional to 334.36, 501.60 and 103.22

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Solution

The fourth proportional to 334.36, 501.60 and 103.22 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.36 : 501.60 = 103.22 : x
  2. Step 2: Convert to fraction form
    334.36/501.60 = 103.22/x
  3. Step 3: Cross multiply
    334.36x = 501.60 × 103.22
  4. Step 4: Simplify right side
    334.36x = 51,775.15
  5. Step 5: Solve for x
    x = 51,775.15/334.36
  6. Step 6: Final answer
    x = 154.85

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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.