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Finding the Fourth Proportional to 336.04, 504.40 and 285.20

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Solution

The fourth proportional to 336.04, 504.40 and 285.20 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.04 : 504.40 = 285.20 : x
  2. Step 2: Convert to fraction form
    336.04/504.40 = 285.20/x
  3. Step 3: Cross multiply
    336.04x = 504.40 × 285.20
  4. Step 4: Simplify right side
    336.04x = 143,854.88
  5. Step 5: Solve for x
    x = 143,854.88/336.04
  6. Step 6: Final answer
    x = 428.09

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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.