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Finding the Fourth Proportional to 336.24, 506.72 and 279.76

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Solution

The fourth proportional to 336.24, 506.72 and 279.76 is: 421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.24 : 506.72 = 279.76 : x
  2. Step 2: Convert to fraction form
    336.24/506.72 = 279.76/x
  3. Step 3: Cross multiply
    336.24x = 506.72 × 279.76
  4. Step 4: Simplify right side
    336.24x = 141,759.99
  5. Step 5: Solve for x
    x = 141,759.99/336.24
  6. Step 6: Final answer
    x = 421.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.