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Finding the Fourth Proportional to 336.36, 504.56 and 285.36

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Solution

The fourth proportional to 336.36, 504.56 and 285.36 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.36 : 504.56 = 285.36 : x
  2. Step 2: Convert to fraction form
    336.36/504.56 = 285.36/x
  3. Step 3: Cross multiply
    336.36x = 504.56 × 285.36
  4. Step 4: Simplify right side
    336.36x = 143,981.24
  5. Step 5: Solve for x
    x = 143,981.24/336.36
  6. Step 6: Final answer
    x = 428.06

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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.