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Finding the Fourth Proportional to 412.18, 618.59 and 304

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Solution

The fourth proportional to 412.18, 618.59 and 304 is: 456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 618.59 = 304 : x
  2. Step 2: Convert to fraction form
    412.18/618.59 = 304/x
  3. Step 3: Cross multiply
    412.18x = 618.59 × 304
  4. Step 4: Simplify right side
    412.18x = 188,049.84
  5. Step 5: Solve for x
    x = 188,049.84/412.18
  6. Step 6: Final answer
    x = 456.23

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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.