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Finding the Fourth Proportional to 442.42, 664.04 and 305.14

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Solution

The fourth proportional to 442.42, 664.04 and 305.14 is: 457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.42 : 664.04 = 305.14 : x
  2. Step 2: Convert to fraction form
    442.42/664.04 = 305.14/x
  3. Step 3: Cross multiply
    442.42x = 664.04 × 305.14
  4. Step 4: Simplify right side
    442.42x = 202,625.17
  5. Step 5: Solve for x
    x = 202,625.17/442.42
  6. Step 6: Final answer
    x = 457.99

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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.