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Finding the Fourth Proportional to 619.49, 929.15 and 186.63

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Solution

The fourth proportional to 619.49, 929.15 and 186.63 is: 279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.49 : 929.15 = 186.63 : x
  2. Step 2: Convert to fraction form
    619.49/929.15 = 186.63/x
  3. Step 3: Cross multiply
    619.49x = 929.15 × 186.63
  4. Step 4: Simplify right side
    619.49x = 173,406.33
  5. Step 5: Solve for x
    x = 173,406.33/619.49
  6. Step 6: Final answer
    x = 279.92

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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.