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Finding the Fourth Proportional to 336.96, 503.35 and 282.29

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Solution

The fourth proportional to 336.96, 503.35 and 282.29 is: 421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 503.35 = 282.29 : x
  2. Step 2: Convert to fraction form
    336.96/503.35 = 282.29/x
  3. Step 3: Cross multiply
    336.96x = 503.35 × 282.29
  4. Step 4: Simplify right side
    336.96x = 142,087.45
  5. Step 5: Solve for x
    x = 142,087.45/336.96
  6. Step 6: Final answer
    x = 421.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.