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Finding the Fourth Proportional to 619.54, 929.40 and 208.72

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Solution

The fourth proportional to 619.54, 929.40 and 208.72 is: 313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.54 : 929.40 = 208.72 : x
  2. Step 2: Convert to fraction form
    619.54/929.40 = 208.72/x
  3. Step 3: Cross multiply
    619.54x = 929.40 × 208.72
  4. Step 4: Simplify right side
    619.54x = 193,984.37
  5. Step 5: Solve for x
    x = 193,984.37/619.54
  6. Step 6: Final answer
    x = 313.11

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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.