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Finding the Fourth Proportional to 336.12, 504.36 and 165.12

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Solution

The fourth proportional to 336.12, 504.36 and 165.12 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.12 : 504.36 = 165.12 : x
  2. Step 2: Convert to fraction form
    336.12/504.36 = 165.12/x
  3. Step 3: Cross multiply
    336.12x = 504.36 × 165.12
  4. Step 4: Simplify right side
    336.12x = 83,279.92
  5. Step 5: Solve for x
    x = 83,279.92/336.12
  6. Step 6: Final answer
    x = 247.77

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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.