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Finding the Fourth Proportional to 479.31, 718.81 and 205.12

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Solution

The fourth proportional to 479.31, 718.81 and 205.12 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.31 : 718.81 = 205.12 : x
  2. Step 2: Convert to fraction form
    479.31/718.81 = 205.12/x
  3. Step 3: Cross multiply
    479.31x = 718.81 × 205.12
  4. Step 4: Simplify right side
    479.31x = 147,442.31
  5. Step 5: Solve for x
    x = 147,442.31/479.31
  6. Step 6: Final answer
    x = 307.61

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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.