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Finding the Fourth Proportional to 338.49, 507.09 and 289.89

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Solution

The fourth proportional to 338.49, 507.09 and 289.89 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.49 : 507.09 = 289.89 : x
  2. Step 2: Convert to fraction form
    338.49/507.09 = 289.89/x
  3. Step 3: Cross multiply
    338.49x = 507.09 × 289.89
  4. Step 4: Simplify right side
    338.49x = 147,000.32
  5. Step 5: Solve for x
    x = 147,000.32/338.49
  6. Step 6: Final answer
    x = 434.28

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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.