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Finding the Fourth Proportional to 619.84, 929.88 and 209

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Solution

The fourth proportional to 619.84, 929.88 and 209 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.84 : 929.88 = 209 : x
  2. Step 2: Convert to fraction form
    619.84/929.88 = 209/x
  3. Step 3: Cross multiply
    619.84x = 929.88 × 209
  4. Step 4: Simplify right side
    619.84x = 194,344.92
  5. Step 5: Solve for x
    x = 194,344.92/619.84
  6. Step 6: Final answer
    x = 313.54

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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.