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Finding the Fourth Proportional to 336.80, 506.55 and 301.70

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Solution

The fourth proportional to 336.80, 506.55 and 301.70 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 506.55 = 301.70 : x
  2. Step 2: Convert to fraction form
    336.80/506.55 = 301.70/x
  3. Step 3: Cross multiply
    336.80x = 506.55 × 301.70
  4. Step 4: Simplify right side
    336.80x = 152,826.14
  5. Step 5: Solve for x
    x = 152,826.14/336.80
  6. Step 6: Final answer
    x = 453.76

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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.