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Finding the Fourth Proportional to 336.45, 505.11 and 259.47

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Solution

The fourth proportional to 336.45, 505.11 and 259.47 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.45 : 505.11 = 259.47 : x
  2. Step 2: Convert to fraction form
    336.45/505.11 = 259.47/x
  3. Step 3: Cross multiply
    336.45x = 505.11 × 259.47
  4. Step 4: Simplify right side
    336.45x = 131,060.89
  5. Step 5: Solve for x
    x = 131,060.89/336.45
  6. Step 6: Final answer
    x = 389.54

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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.