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Finding the Fourth Proportional to 319.82, 479.65 and 103.34

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Solution

The fourth proportional to 319.82, 479.65 and 103.34 is: 154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 479.65 = 103.34 : x
  2. Step 2: Convert to fraction form
    319.82/479.65 = 103.34/x
  3. Step 3: Cross multiply
    319.82x = 479.65 × 103.34
  4. Step 4: Simplify right side
    319.82x = 49,567.03
  5. Step 5: Solve for x
    x = 49,567.03/319.82
  6. Step 6: Final answer
    x = 154.98

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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.