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Finding the Fourth Proportional to 479.19, 719 and 205.35

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Solution

The fourth proportional to 479.19, 719 and 205.35 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.19 : 719 = 205.35 : x
  2. Step 2: Convert to fraction form
    479.19/719 = 205.35/x
  3. Step 3: Cross multiply
    479.19x = 719 × 205.35
  4. Step 4: Simplify right side
    479.19x = 147,646.65
  5. Step 5: Solve for x
    x = 147,646.65/479.19
  6. Step 6: Final answer
    x = 308.12

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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.