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Finding the Fourth Proportional to 336.40, 503.76 and 275.68

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Solution

The fourth proportional to 336.40, 503.76 and 275.68 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.40 : 503.76 = 275.68 : x
  2. Step 2: Convert to fraction form
    336.40/503.76 = 275.68/x
  3. Step 3: Cross multiply
    336.40x = 503.76 × 275.68
  4. Step 4: Simplify right side
    336.40x = 138,876.56
  5. Step 5: Solve for x
    x = 138,876.56/336.40
  6. Step 6: Final answer
    x = 412.83

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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.